Tài liệu ôn tập Violympic toán tiếng anh lớp 5

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PRACTICE MATERIALS FOR

MATH VIOLYMPIC GRADE 5

2016

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Page 1 of 50

ROUND 1

Question 1:

Which fraction is greater than 1?

A. ¹¹

12 B. ⁵

7 C. ²

3 D. ¹⁴

8

Question 2:

4 : ³

7= ...

The missing fraction is ...

A. ²⁸₃ B. ₂₈³ C. ¹²₇ D. ⁷

12

Question 3:

Which of the following expressions equal 8/30?

A. ¹¹

30− ⁴

30 B. ²

30× ⁴

30 C. ⁸

15:¹

2 D. ²

30+ ⁶

30

Question 4:

1m² = ...cm²

A. 10000 B. 10 C. 100 D. 1000

Question 5:

Which expression is less than 1?

A. 3/4 + 1/2 B. 3/5 + 2/5 C. 2/3 + 1/4 D. 1/3 + 4/5 Question 6:

37 minutes 48 seconds + 29 minutes 36 seconds = ... minutes 24 seconds.

The missing number is ...

A. 65 B. 67 C. 68 D. 66

Question 7:

Which fraction is greater than 24/36?

A. 4/9 B. 9/12 C. 7/12 D. 8/9

Question 8:

Hung has eighteen pens more than Dung.

Dung has one third as pen as Hung. Dung has ...

A. 9 pens B. 2 pens C. 3 pens D. 6 pens

Question 9:

This year, Mai's mother is four times as old as Mai. Four years ago, Mai's mother was thirty years old more than Mai.

This year, Mai is ... years old.

A. 6

B. 4 C. 10 D. 8

(4)

Page 3 of 50 Question 10:

The greatest fraction in these fractions is ...

A. 6/7 B. 4/5 C. 3/4 D. 2/3

Question 11:

Fill the suitable answer in the following blank:

.../5 : 3/7 = 28/15 Question 12:

Fill in the suitable answer in the following blank.

3/5 x 2/7 = 6/....

Question 13:

Fill the suitable answer in the following blank.

2/5 : 3/4 = 8/....

Question 14:

Write >, <, = 7/11 ... 9/11 Question 15:

Fill the suitable answer in the following blank.

3/7 + 2/7 + 1/7 = ..../7 Question 16:

Spending 80000 dong on buying 5kg apples.

Spending ... dong on buying 7kg apples.

Question 17:

Write >, <, = 5/8 ... 14/24 Question 18:

Calculate: 5/7 : 4 x 1/3 = ...

Write the solution by fraction in the lowest terms.

Question 19:

Write >, =, <

1 + 1/3 + 1/5 .... 1/2 + 1/4 + 1/6 Question 20:

Let fraction 28/35. If both denominator and numerator of this fraction are decreased by x units then this fraction will equal 3/4. The value of x is ...

Question 21: Find the equal pairs.

(5)

Page 4 of 50

(6)

Order the fractions in ascending order:

Question 23:

Tom has 1/3 pizza left in the fridge. He eats ¼ of it for his breakfast. What fraction of the original pizza does he have left for lunch?

Answer: ……….

Question 24:

The quotient of two numbers is 2 and their product is 100. Find the sum of the two numbers.

Answer: The sum is…………..

(7)

Jim has 20 apples and oranges. The number of apples is 4 times the numbers of oranges. How many apples does Jim have?

Answer: Jim has ………..apples Question 26:

There are 38 students in the class 5A. The students can be sit at the 11 tables with no empty seats. There are small table for 3 students and large table for 4 students. How many small tables and large tables in the class?

Answer: There are……….small tables, ………….large tables.

Question 27:

If the area of the smallest square is 12 cm², what is the area of the entire figure?

Answer: The area of the entire figure is ………cm²

Figure:

Question 28:

Each of cars can take 8 people. How many cars are needed to take 124 people?

Answer: …cars Question 29:

How many integer numbers between 200 and 300 are there for which the hundreds digit equals the sum of the other two digits?

Answer: There are …….integer numbers.

Question 30:

Find the sum of numbers that are greater than 50 in the following table.

Answer: The sum is ……….

Question 31:

If subtracting 19 from the greatest 2-digit number and then dividing the difference by 4. What is the result?

Answer: ……….

Question 32:

What is the perimeter of a rectangle with sides 5cm by 4 cm?

Answer: ……….

(8)

The time is 7: 30 a.m. What time will it be after 2hours 30 minutes?

Answer: ……….

ROUND 2

Question 1:

If the sum of the length and the width of a rectangle is 24 then the perimeter of this rectangle is ...

Question 2:

Compare: 5/2 x 3/7 ... 15/14 Question 3:

Write as an improper fraction = A/6 The result is A = ...

Question 4:

Compare: 2/5 + 1/5 ... 3/2 x 1/2 Question 5:

Multiply:

Answer: A = ...

Question 6:

3/5 of tickets sold at a zoo were child tickets.

If the zoo sold 65 tickets in all then the zoo sold ... child tickets.

Question 7:

If 1/3 + 2/5 x 4/3 = A/B then A = ...

Question 8:

The value of 6 in 56174 is ...

Question 9:

The least common denominator of 1/2; 1/3; 1/4; 1/5; 1/6 is ...

Question 10:

Compare: 1/2 + 3/4 + 5/6 ... 5/4 + 1/6 + 2/3 Question 11:

Which of the following expression equal 67/100?

A. 6/100 + 7/100 B. 7/10 + 7/100 C. 7/10 - 7/100 D. 6/10 + 7/100

(9)

The least common denominator of 1/2 and 1/3 is ...

A. 24 B. 12 C. 10 D. 6

Question 13:

The next fraction in this sequence 1/2, 1/4, 1/6,... is ...

A. 1/20 B. 1/8 C. 1/12 D. 1/16

Question 14:

If the base of a parallelogram is 12cm and the height of the parallelogram is 3cm. Then the area of the parallelogram is ...

A. 18cm² B. 15cm² C. 30cm² D. 36cm²

Question 15:

Find the equal pairs:

Question 19:

Which number is divisible by 2, 3 and 5?

A. 500 B. 702 C. 1200 D. 1000

Question 20:

The sum of the smallest 3-digit number and 241 is ….

Answer: ..

Question 21:

Calculate: ²

5− ¹

10= ⋯ … (Write your fraction in the simplest form) Answer: ………..

(10)

Calculate: (5 +²

7) × (1 +³

4) = ⋯ …(Write your answer in the simplest form) Answer: ………

Question 23:

The sum of 2 consecutive odd numbers is 248. Find the smaller number.

Answer: The smaller number is ……….

Question 24:

A group plants 912 pine trees every 3 days on average. How many pine trees can that group plant in 5 days?

Answer: There are …..pine trees.

Question 25:

Which is the greatest 2-digit number divisible by 2, 3 and 4?

Answer: The number is ………

Question 26:

Look at this sequence: 2, 6, 12, 20, ………. What number could be next?

Answer: …….

Question 27:

There are seven squares in the picture. How many triangles than squares are there in the picture?

Answer: ………….

Question 28:

The product 2 numbers is 2364. The product of double the first number and triple the second number is …………

Answer: ………..

Question 29:

(11)

Page 10 of 50 The sum of denominator and numerator of a fraction is 121and the fraction is equal to ⁴

7

Find the denominator of the fraction?

Answer: ……….

Question 30:

Write : > ; =; < ¹³

15… … …⁴

5

Question 31:

The sum of 2 numbers is the greatest 3-digi number and their difference is the gratest 2-digit number. What is the greater number?

Answer: ………

Question 32:

The ratio of 2 numbers is 2:4 and their sum is 270. What is the greater number?

Answer: ………

Question 33:

The average of A, B, C is 48 and A is less than the sum of B and C.

Find the value of A.

Answer: ………..

Question 34:

Find B, if B is 34 more than the average 35; 40; 56 and B.

Answer:………

Question 35:

The greatest 4-digit number that divisible by 15 is ……

A. 9975 B. 9999 C. 9990 D. 5670

Question 36:

The sum of 2 numbers is 359and there are 54 even numbers between them. The greater number is ……

A. 234 B. 236 C. 204 D. 232

Question 37:

How many 3 –digit even numbers?

(12)

Page 11 of 50

A. 510 B. 500 C. 440 D. 450

Question 38:

Mary is 8 years old. her father is five times as old as Mary. How old is her father?

A. 28 B. 46 C. 35 D. 40

Question 39:

Convert: (3 + ¹

25) 𝑘𝑔 = ⋯ … … . . 𝑔

A. 340 B. 34 C. 3040 D. 1000

Question 40:

The ratio of 2 numbers is 4:5 and their sum is 135. What is the smaller number?

A. 65 B. 75 C. 80 D. 60

Question 41:

The perimeter of a square is 68 cm. what is the area this square?

A. 4624 B. 289 C. 1156 D. 416

Question 42:

The sum of odd numbers from 34 to 135 is ……..

A. 4537 B. 3481 C. 4309 D. 4335

Question 43:

The last digit of the product 1 × 5 × 7 × 9 × 11 × … × 99 is …

A. 0 B. 1 C. 5 D. 9

Question 44:

The sum of even numbers from 16 to 56 is ……

A. 756 B. 72 C. 789 D. 359

Question 45:

Calculate: (1 +²

5) ×⁶

7= ⋯ ….

A. ⁶

5 B. ²

7 C. ¹²

35 D. 3

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Choose consecutively the cells with increasing value to remove them from the table.

(14)

Page 13 of 50

ROUND 3

Question 1:

Choose consecutively the cells with increasing value to remove them from the table.

(15)

Fill in the blank with the suitable sign (>, <, =) Compare: 5/123 ...1/41

Question 3:

Divide

Write your answer in the simplest form . Question 4:

3km²= ... m². Question 5:

.../4 m = 175cm.

Question 6:

The cost of eight spoons is 4 dollars. How much do 6 spoons cost?

Answer:

6 spoons cost ...dollars.

Question 7:

The sum of two consecutive odd numbers is 2016. The greater number is ...

Question 8:

The sum of denominator and numerator of a fraction is 91 and the fraction is equal to 6/7.

The denominator of the fraction is ...

Question 9:

(16)

Page 15 of 50 1/2 + 1/4 + 1/n = 11/12

The value of n is ...

Question 10:

Bella has 30 candies. Alice has 5 candies fewer than Bella. Sara has 5 candies more than Bella. How many candies do they have altogether?

Answer:

They have ... candies altogether.

Question 11:

The sum of the page number of the last 3 pages of a book is 369. What is the last page number?

Answer:

The last page number is ...

Question 12:

25mm²= ...

A. 1/40m² B. 1/400m² C. 1/4000cm² D. 1/40000m²

Question 13:

3/100 m²= ...

A. 3dm² B. 30cm² C. 3mm² D. 3cm²

Question 14:

2kg = ...

A. 20g B. 200g C. 2000g D. 20000g

Question 15:

Write >, <, =

3cm²200mm²... 3200mm² Question 16:

The value of digit 5 in 345261 is …..

Answer: ………..

Question 17:

The cost of 5 pencils is 9 dollar. How much does Tom have to pay for 10 pencils?

Answer: …………..dollar.

Question 18:

The least common denominator of two fractions ²

21𝑎𝑛𝑑 ³

28𝑖𝑠 ….

Answer: ……..

(17)

The sum of 2 consecutive even numbers is 850. Find the smaller number.

Question 20:

The last digit of the product 1 × 2 × 3 × 4 × … × 11 𝑖𝑠 … ….

Answer: …………..

Question 21:

How many distinct 2-digit numbers from 10 to 69?

Answer:…………

Question 22:

The average of 2 numbers is 234 and their difference is 106. What is the value of the smaller number?

Answer: …………..

Question 23:

There are 35 blue, 42 yellow and 27 black marbles in a box. Jim closes his eyes and draws a marble from the box. At least how many marbles must Jim draw to ensure that there is 1 blue marble?

Answer: …………

Question 24:

Look at this sequence: 2; 11; 36; 85;….. What number should come next?

Answer: ….

Question 25:

Calculate: 6¹

6 +¹¹

6 = ⋯ … ….

Answer: ………..

Question 26:

How many odd numbers from 10 to 60?

Answer: ……….

Question 27:

(18)

Page 17 of 50 6 people complete a task in 3 days. How many people are needed to complete the same task in 2 days? (everyone has the same productivity)

Question 28:

Calculate: ²⁰

16+ ³

15+ ²

12+³

4+⁴

5+⁵

6= ⋯ Answer: ……..

Question 29:

Calculate: 5²

7 × 1¹

4= ⋯ …(Write your answer in the simplest form) Answer: ……..

Question 30:

How many 3 digit numbers are there from 100 to 989?

Answer:……….

Question 31:

Find the average of ⁸²

4 𝑎𝑛𝑑¹⁴⁶

4

Answer: ……….

Question 32:

Which of the following fractions is equal to ³⁶

162?

A. ¼ B. 2/7 C. 3/9 D. 12/54

Question 33:

Convert the mixed fraction 5 ⁷

9 to a fraction.

A. 12/9 B. 54/9 C. 18/9 D. 52/9

Question 34:

The sum of denominator and numerator of the fraction ²⁴³

167 is …

A. 400 B. 410 C. 310 D. 420

Question 35:

In the following numbers which is divisible by 6?

(19)

Page 18 of 50

A. 2016 B. 2017 C. 2018 D. 2015

Question 36:

Write all 4-digit numbers from the smallest to the greatest. What is the 241^th4 –digit number?

A. 1241 B. 1242 C. 1240 D. 1239

Question 37:

There are 56 pens in box A and 64 pens in box B. How many pens must be transferred from box B to box A so that the number of pens in box A is 3 times the number of pens in box B?

A. 30 B. 31 C. 32 D. 34

Question 38:

Calculate: 1 + ¹⁺²

2 + ¹⁺²⁺³

3 + ⋯ . + 1+2+3+⋯.+199 199 = ⋯.

A. 345 B. 941 C. 145 D. 796

Question 39:

Given 4 fractions: ²

3;⁵

6;³⁰³⁰

9090;⁵⁹

60. The largest fraction is

A. 5/6 B. 2/3 C. 3030/9090 D. 59/60

Question 40:

The difference of two numbers is 189. Their ratio is 2:5. Find these numbers.

A. 54; 135 B. 234; 214 C. 534; 126 D. 126; 315

ROUND 4

Question 1:

Fill in the blank with >, <, = 2m 3cm ... 2,3m

Question 2:

Convert: 4ton 15kg = ... ton

Write the result by decimal number with comma between number part and fraction part Question 3:

Write 2/100 as a decimal number with comma between number part and fraction part.

2/100 = ...

Question 4:

Calculate: 2,76 + 5,23 = ...

Write decimal number with the comma between number part and fraction part Question 5:

Write 324/100 as a decimal number with comma between number part and fraction part.

324/100 = ...

(20)

Convert: 25357 cm² = ... m².

If a = 3,256 and b = 42,86 then b - a = ...

Calculate: 5,752 - 0,18 = ...

If a and b are two consecutive natural numbers and a > 0,2 + 0,3 + 0,4 + 0,5 > b then a = ...

Question 10:

Find a decimal number if it is decreased by 2,7, the result is increased by 3,5 then the last result is 7,5.

Answer: ...

In these decimal numbers: 4,6; 5,03; 3,45; 3,54; 5,3; 4,06; which number is the least?

Answer: ...

Question 12:

Convert: 4dm² 35cm² = ... dm². Question 13:

In 718,3452 which digit is in the tens place?

Answer: ...

Question 14:

The area of a rectangle is 7232cm². The area of a circle is 5346cm². The sum of area of this rectangle and this circle is ... dm². Question 15:

I If x - 3,45 = 6,72 then x + 1 = ...

Question 16:

If a = 3,4; b = 7,3 and c = 6,6 then (a + c) + b = ...

Question 17:

If a and b are two consecutive even numbers and a + 1 < 11,6443 < b then a = ...

Question 18:

Fill in the blank with the suitable sign (>, =, <) Compare: 0,4 ... 5/100

Question 19:

Fill in the blank with the suitable sign (>, =, <)

(21)

Page 20 of 50 Compare: A = 1,b5 + a,23 + 4,61c and B = a,b2c + 5,59

Answer: A ... B Question 20:

Fill in the blank with the suitable sign (>, =, <)

Compare: A = 3,45 + 2,4 + 7,64 and B = 4,43 + 1,7 + 7,32 Answer: A ... B

Question 21:

In 12.36 which digit is in the ones place?

A. 3 B. 2 C. 1 D. 6

Question 22:

Which of following decimal numbers should be replaced the question mark?

A. 0.7 B. 0.5 C. 0.8 D. 0.9

Question 23:

Write 12/100 as a decimal number.

A. 12 B. 1.2 C. 0.12 D. 0.012

Question 24:

What decimal number is this?

A. 0.3 B. 0.5 C. 0.4 D. 0. 2

Question 25:

Write 2.25 as a mixed number in the simplest form.

A. 2¹

4 B. ²²⁵

100 C. 2 ²⁵

100 D. 2²⁵

10

Question 26:

Write the decimal number "six and three hundredth" using digits.

A. 3.6 B. 6.3 C. 3.06 D. 6.03

(22)

Convert 25g = ... kg.

Write your answer by decimal in the simplest form.

A. 0.025 B. 0.25 C. 2500 D. 2.5

Question 28:

Write numbers below in order from least to greatest.

3/12; 4/5; 0.75; 0.23

A. 3/12; 0.23; 0.75; 4/5 B. 0.23; 3/12; 0.75; 4/5 C. 3/12; 4/5; 0.75; 0.23 D. 0.23; 3/12; 4/5; 0.75 Question 29:

If x is a natural number and x < 2876/100 then the greatest value of x is:

A. 287 B. 28 C. 27 D. 2876

Question 30:

Find x if ab4,938 < ab4,9x6 < ab4,953.

Answer: x = ...

A. 6 B. 4 C. 5 D. 3

Question 31:

Choose the equal pairs:

Question 32:

Fill in the blank with the correct decimal number:

9/100 kg = ...kg.

(23)

Write 47/100 as a decimal number in the simplest form.

Answer: ...

Question 34:

In 348.256, which digit is in the tenths place?

Answer: ...

Question 35:

4/10 + 6/1000 = ...

Question 36:

I have two digits in the decimal part. I am greater than 75 but less than 80 What least possible number am I?

Answer: ...

Question 37:

Find the value of p.

Answer: p = ...

Write your answer as a decimal in the simplest form.

Question 38:

Fill in the blank with the correct number.

3/100 m = ...cm Question 39:

If p and q are consecutive natural numbers and 9.062 < p + q < 12.988 then p x q = ...

Question 40:

If n is a natural number and n < 12.03 < n + 5 the the smallest value of n is ...

(24)

Page 23 of 50

ROUND 5

Question 1:

Order the following in the ascending order:

Question 2:

Mrs Emily used 0,93kg of flour to make a cake.

How much flour did she use to make 100 such cakes?

Answer: ... kg.

Question 3:

The length of a rectangle is 2,36m and its width is 1,27m.

The perimeter of this rectangle is ... m.

(25)

Calculate: 19,7 x 6 = ...

Question 5:

Jane had 40 dollars. She bought 5kg of mangoes at 4,55 dollars per kg.

How much money did she have left?

Answer: ... dollars.

Question 6:

1kg of apples costs 4,35 dollars and 1kg of grapes costs 7,2 dollars.

How much money does Marie have to pay for 2kg of grapes and 3kg of apples?

Question 7:

Fill in the blank with the suitable decimal number.

12,5 x 5 + 4 x ... = 73,3 Question 8:

5kg of sugar cost 4,75 dollars. Mary bought 6kg of sugar and she had 10,3 dollars left.

How much money did she have at first?

Question 9:

If 1,001 x abc = a5c,2b9 then b = ...

Question 10:

The area of a rectangle is 24,7m². If its length is decreased by 5 times and its width is increased by 6 times then its area will equal ...m².

Question 11:

The length of a rectangle is 2,36m and its width is 1,27m.

The area of this rectangle is ... m². Question 12:

If X x 100 = 2345,6 then X = ...

A. 2345.6 B. 234.56 C. 2,3456 D. 23,456

Question 13:

Calculate: 12,3 x 4 = ...

The result is:

A. 48,2 B. 49,02 C. 49,2 D. 48, 02

(26)

Fill in the blank with the suitable decimal number:

5 x ... = 13,75

A. 3,25 B. 2,55 C. 3,75 D. 2,75

Question 15:

If the sum of two decimal numbers is 27,2 and the greater number is seven times of the less number then the less number is ...

A. 4,4 B. 3,4 C. 23,8 D. 22,8

Question 16:

Convert 25m = ... km.

A. 250 B. 0,025 C. 2,5 D. 0,25

Question 17:

2m²= ... dm².

A. 200 B. 200000 C. 2000 D. 20000

Question 18:

Convert 3,25kg = ... g.

A. 0,325 B. 325 C. 3250 D. 32,5

Question 19:

Convert 340kg = ... ton.

A. 34 B. 3,4 C. 0,34 D. 0,034

Question 20:

Convert 5.03m = ...cm.

A. 50,3 B. 0,503 C. 503 D. 5030

Question 21:

How many natural numbers are there less than 7,23?

A. 8 B. 7 C. 5 D. 6

Question 22

How many odd numbers are there less than 54,91?

A. 55 B. 27 C. 26 D. 28

Question 23:

How many even numbers are there less than 46,25?

A. 25 B. 47 C. 24 D. 23

(27)

If x is a natural number and 3,8 < x < 4,3 then x = ...

Question 25:

In the following numbers, which is the greatest?

7,568; 9,265; 8,975; 7,689; 9,256 Answer:

The greatest number is ...

Question 26:

If m is a even number and 81,32 > m > 78,54 then m = ...

Question 27:

Use all the digits below to form the decimal number that is smaller than 5.

2; 5; 9; 4; 8

How many such numbers are there?

Answer:

There are ... numbers.

Question 28:

Fill in the blank with the suitable sign (>, <, =) Compare:

76,5 ... 75,66 Question 29:

Convert: 5km 2m = ... km.

Question 30:

Convert 1mm = ... m

(28)

Page 27 of 50

ROUND 6

Question 1: Choose 2 consecutive cells which have the same or equal value.

Answer:

(1) = ...; (2) = ...; (3) = ...; (6) = ...; (7) = ...; (9) = ...; (11) = ...; (13) = ...;

(14) = ...; (16) = ...

Question 2:

Find the value of y such that 19.5 + y = 32.6 Answer: y = ...

A. 52,1 B. 14,1 C. 51,1 D. 13,1 Question 3:

Calculate: 1.34 + 2.34 + 3.34 + ... + 20.34 = ...

A. 205.96 B. 195.12 C. 227.64 D. 216.8 Question 4:

Which of following decimals is equal to 3/8?

A. 0,35 B. 0,375 C. 0,3 D. 0,357 Question 5:

Write these numbers in standard form: 21.3 = 20 + 1 + 0.3 Which of following is true?

A. 149.34 = 100 + 40 + 9 + 0.34 B. 127.06 = 120 + 7 + 0.06 C. 105.9 = 100 + 5 + 0.9

(29)

Page 28 of 50 D. 280.2 = 200 + 8 + 0.2

Question 6:

10 + ... + 8 = 18.06

A. 0,06 B. 0,8 C. 0,08 D. 0,6 Question 7:

If n = 23.54 then n x 9 = ...

Question 8:

If a x b = 42.63 then b x a = ...

Question 9:

Multiply: 3.56 x 8 = ...

Question 10:

If a = 2.4; b = 5.6 and c = 7.6 then (a + b) x c = ...

Question 11:

The cost of 2 kilograms of oranges is 2.31 dollars. What is the cost of 12 kilograms of oranges?

Question 12:

Calculate: 0.4 x 8.4 x 2.5 = ...

Question 13:

Compare:

M = 25.36 x 25.34 and P = 25.35 x 25.35 Answer: M ... P

Question 14:

Compare:

A = 26.26 x 4949.49 and B = 49.49 x 2626.26 Answer: A ... B

(30)

This table shows the weights of Peter's three dogs.

The product of the combined weight of Shadow and Josie and the weight of Brody is ...

kg.

Question 16:

The missing decimal number is ...

Question 17:

A. 5,9 B. 8,3 C. 6,3 D. 3,8 Question 18: What the sum of 5.36 and 6.68?

Question 19:

What is the difference of 49.32 and 25.76?

Question 20:

The value of 27.8 + 51.3 = … Question 21:

The cost for a movie ticket is $4.5. Soft drinks cost $1.15 each. What is the total cost for 8 people to each a movie ticket and a soft drink?

(31)

Page 30 of 50

ROUND 7

Question 1: Choose the increasing value

Answer:

< ... < ... < ... < ... < ...

Question 2:

Calculate: 0.18 x 400 = ...

A. 7,2 B. 0,72 C. 720 D. 72 Question 3:

The incorrect calculation: 2 x 3 + 6 x 4 = 42 may be made correct bay increasing one of these number by 2. Which number should it be?

Question 4:

Calculate: 6.3 x 6.4 + 3.6 x 6.3 = ...

A. 63 B. 39 C. 36 D. 64 Question 5:

Find the value of X such that 9.6 x X = 6.4 x 7.2.

Answer: X = ...

A. 5.6 B. 5.4 C. 4.2 D. 4.8

(32)

Page 31 of 50 Question 6;

The value of the digit 5 in 238.159 is ...

A. 0.5 B. 0.05 C. 5 D. 0.005 Question 7:

If 15.498 < 15.4xy then y = ...

A. 7 B. 8 C. 9 D. 6

Question 8:

James buys 5 Harry Potter books at $200.25 each. What is the total cost?

A. $1000.25 B. $1001.25 C. $1001 D. $1001.1 Question 9:

Charlies buys two pairs of shoes for $15.75 each. He gives the clerk $50.00. How much change should Charlie receive?

A. $18.5 B. $31.5 C. $34.25 D. . $15.75 Question 10:

The value of 2.56 x 4.15 + 7.623 is ...

A. 18.427 B. 18.274 C. 18.472 D. 18.247

Question 11:

If you can ride 7.35km in 15 minutes then how far can you ride in 2 hours?

A. 44.1km B. 29.4km C. 14.7km D. 58.8km

Question 12:

Four friends eating four pizzas that have same size. John has 2/5 left, James has 1/3 left, Jacob has 1/4 left and Billy has 3/5 left. Who eats the most amount of pizza?

A. Billy B. James C. Jacob D. John

Question 13:

The table shows the cost of hamburgers:

If the pattern continues then the cost of 5 hamburgers is ...

A. $13.75 B. $13.25 C. $12.75 D. $12.25

(33)

How many pairs of two - digit natural numbers have a difference equal to 40?

Question 15:

Mary calculates the sum of the digits that she sees on her clock (example: If the clock shows 16:35 then she gets 15). What is the biggest sum she can get if the clock is a 24-hour cock?

A. 24 B. 35 C. Another answer D. 19 Question 16:

...% of 120 is 138.

Question 17:

Find the value of X such that: 6.5 : X = 6.5 x X Answer: X = ...

Question 18:

Find the following percentage: 30% of 22 is ...

Question 19:

Calculate the percentage: 70% of 48 is ...

Question 20:Complete the table below:

Question 21:

A clothing shop is having a 40% off sale. How much would a shopper have to pay for a shirt with its original price is $20?

Answer: $...

Question 22:

The original price of an umbrella is $15. What is its price after two times 10% discount?

Answer: $...

Question 23:

How many pairs of two - digit natural numbers have a difference equal to 40?

Answer: ... pairs.

(34)

191 is a number that stays the same when read backwards as when read forwards. How many 4 - digit numbers have this property?

Question 25:

A rectangle has a perimeter of 3.6dm and one side is twice as long as another. What is the rectangle’s area in m²?

Question 26:

A rectangle is divided exactly 12 identical squares arranged in four rows. What is the area of the rectangle, if the perimeter of one small square is 15cm?

Question 27:

Charlie buys two pairs of shoes for $15.75 each. He gives the clerk $50.00 How much change should Charlie receive?

Question 28:

Find the standard decimal form of 5 x 0.01 + 3 x 0.2.

Question 29:

Find two numbers if their sum is 8.15 and their difference is 3.09.

Question 30:

If x is a natural number and x < 17.988.

Question 31:

60% of Jane’s school are girls and there are 180 more girls than boy. How many students are there in Jane’s school?

Question 32:

Anna add 4g of sugar to 16g of water. What is percentage of sugar in the solution obtained?

Question 33:

Anna buys a dress at a discount of 25%. She spents ³

11 of her money to buy the dress and has

$450 left. How much does the dress cost before the discount?

Question 34:

At a supermarket, a certain item has increased from 75 cents per pound to 87 cents per pound.

What is the percentage increase in the cost of the item?

(35)

There are 40 students in Mrs. Jane’s class. 20% of her students receive a B on the test. How many students do not receive B?

ROUND 8

Question 1:

The number of centimetres in 7.05 metres is Question 2:

The area of the figure shown is….

(All the sides are measured in the same units) Question 3:

In the 3×3 table shown, the numbers 2, 4 and 6 are placed so that each number occurs only once in each row and only once in each column. The value of M+N is ……

Question 4:

The length of each edge of a cube is 3 cm. The surface area of the cube, in , is Question 5:

How many three-digit numbers are exactly 19 more than a two-digit number?

Question 6:

How many even numbers between 1 and 100 are divisible by 5?

(36)

How many different 3-digit whole numbers can be formed using the digits 4, 5, 0 and 8, assuming that no digit can be repeated in a number?

Question 8:

At the beginning of the summer, Bob was 140 cm tall. At the end of the summer, he

measured his height again and discovered that it had increased by 5%. Measured in cm, what was his height at the end of summer?

Question 9:

Alice is going to the store. One third of the way to the store, she stops to talk with Kelly. She then continues for 6 km and reaches the store. How many kilometres does she travel?

Question 10:

A bag contains green marbles and red marbles only. If the ratio of the number of green marbles to the number of red marbles is 1:4 then …… % of marbles are green.

Question 11:

Choose 2 consecutive cells which have the same or equal value.

Question 12:

Write 45% as a fraction. The result is…

(37)

The average of five consecutive even numbers is 40. The average of the smallest and largest of these number is ...

Question 14:

Which decimal is equal to ⁹ 16? Question 15:

What is the product of 3.05 and 2.8?

Question 16:

There are 40 students in Mrs. Brown’class. 25% of her students received a B on the test. How many students received a B?

Question 17:

The price of a pair of shoes after one 10% sale is $22.5. The original price of the shoes is $...

Question 18:

Look at the partern: ¹⁹ 0.95

20  21

20 1.05 23

20 1.15. What decimal is equal to 20 ? Question 19:

If a pen costs $1.75 and an eraser costs $0.85, which of the following is the cost of 10 erasers and 5 pens?

Question 20:

Anna, Bella, Charlie, Daniel, and Elly are sitting in the 5 chairs around a circular table.

Charlie and Elly are sitting beside each other. Anna and Daniel are not sitting beside each other. The 2 people who are seated on either side of Bella are…

Question 21:

A motorbike at Store A costs $900. The regular price of the same motorbike at Store B is 10% more than it is at Store A. The motorbike is on sale at Store B for 10% off of the regular price. What is the sale price of the motorbike motorbike at Store B?

Question 22:

A clothing shop is having a 40% off sale. How much would Jane have to pay for a $30 sweater with a discount?

(38)

How many rectangles are there?

Question 24:

If the area of ABCD is 60 cm²then the area of MNCD is….cm² Question 25:

Some of the squares are black. If we wish to have 50% of the whole figure black, how many more squares must be painted?

(39)

Page 38 of 50

ROUND 9

Question 1:

1.83 + … = 2. The missing number is … Question 2:

16 is what percent of 80?

Question 3:

A cube has a volume of 64cm³. The area of one face of the cube is …cm². Question 4:

After running 20% of a race, Bob had run 25m. How long was the race, in metres?

Question 5:

Alice are going to buy sugar for her cooking class. She need to have 1

6kg of sugar for every students in her class. There are 18 students in her class. How many kilogram of sugar should Alice buy?

Question 6:

Alice’s mathematics exam had 30 algebra Questions and 50 geometry Questions, each worth 1 mark. She got 70% of the algebra Questions correct, and 60% of her Questions correct.

How many geometry Questions did she answer correctly?

Question 7:

Find x such that x : 4 = 0.626.

Question 8:

Jack need to earn enough money to buy a new skateboard that costs $48.45. He has $15.34?

How much money does he need to buy the skateboard?

Question 9:

Lucy has played 20 games and has a 95% winning percentage. Without losing any more games, how many more games must he win to reach exactly a 96% winning percentage?

Question 10:

The distance from Anna’s house to the store is 1

2 mile. Anna run to the store twice a day, 7 days a week for 3 weeks. How many miles does she run in total?

(40)

What is the quotient of 0.51 and 17?

Question 12:

A car traveled at 50km/h for 2 hours and at 60km/h for 3 hours. What is the car’s average speed?

Question 13:

A train crosses a tree in 10 second and a bridge 225m long in 25 second. Find the length of the train.

Question 14:

An airplane flies with a constant speed of 810 miles per hour. How far can it travel in hours?

Question 15:

Bob roller skates with a constant speed of 14 miles per hour. How far can he travel in hour?

Question 16:

Emily rides her bike with a constant speed of 12km/h. How far can she travel in 3 hours?

Question 17:

John drove from Town A to Town B in 5 hours. His average speed for the first 3.5 hours was 64km/h. His average speed for the last 1.5 hours was 60km/h. What was the total distance he traveled?

Question 18:

Peter and Jacob were running. Both of them run with their constant speeds. They started at the same time and the same place. When Jacob reached the finishing line, Peter had only run of what Jacob had run. Jacob’s speed is 75m/min (metre per minute) faster than Peter.

What was Peter’s speed in m/min?

(41)

The distance between John’s home and the park is 3000m. John walked from his home to the park at a speed of 100m per minute and then walked back home at a speed of 150m per minute. What is the John’s average speed in meter per minute?

Question 20:

Jack rides his horse with a constant speed of 12 miles per hour. How far can he travel in hours?

Question 21:

A box contains 21 disks, each coloured red, blue and green. There are twice as many green disks as red disks, and half as many blue as red. How many disks are red?

Question 22:

Charlie and Lily go on a 24 km run. They both usually run at 9 km/h. If Charlie runs at 2/3 his usual running speed, and Lily runs at 4/3 times her usual speed, how many more hours does it take Charlie to complete the run than it takes Lily to complete the run?

Question 23:

Each face of a cube is painted with exactly one colour. What is the smallest number of colours needed to paint a cube so that no two faces that share an edge are the same colour?

Question 24:

If the numbers: 2/5; 41% and 0,401 are arranged from largest to smallest, the correct order is ...

Question 25:

In the diagram, the percentage of small squares that are shaded is …

Question 26:

The results of a survey of the hair colour of 500 people are shown in this circle graph. How many people have blonde hair?

(42)

You walk 2 miles with your dog in only 40 minutes. Your average speed is ...

Question 28:

Susan wants to divide 35,5 kg sugar in small bags. If each bag holds 0,5kg, how many bags are needed?

Question 29:

The number of centimetres in 2,5 metres is … Question 30:

The volume of the cube below is ….. cm³

(43)

Page 42 of 50

ROUND 10

Question 1:

How fast is Anna going if she runs 8 miles in the park in only 2 hours?

Question 2:

How fast is Jack going if the train he is on travels 20 miles in just 6 minutes?

Question 3:

The area of a rectangle ABCD is . Given a random point E inside of ABCD. Find the total area of triangles AED and BEC.

Question 4:

The distance between 2 trees is 300 meters. It will take a bird 30 seconds to fly between these 2 trees. How fast is the bird in kilometer per hour?

Question 5:

Yesterday Peter roller skated for 2.5 hours at a speed of 6 km/h. How many kilometers did he skate?

Question 6:

Find the value of x such that ³ ²⁶ 7 21 x 

Question 7:

Write 23 ⁵

100 as a decimal. The result is ...

Question 8:

What is the difference between the sum of the first 2016 even natural numbers, and the first 2016 odd natural numbers?

Question 9:

Calculate: 23.61 x 4.23 = … Question 10:

Convert: 0.6 hour = ………. minutes.

Question 11:

5 minutes 27 seconds: 3 = ………. seconds.

(44)

12 hours 24 minutes 2 =…………hours.

(Write your answer by decimal in the simplest form) Question 13:

51 hours = ……….. days

(Write your answer by decimal in the simplest form) Question 14:

This shape is made of several small cubes. Find the surface area of the shape, if each side of small cube is 2 cm long.

Question 15:

In a school library, there are 101000 English books, 92683 Math books and 216094 books of other subjects. How many books are there in the library?

Question 16:

Jack buys 25 sofas from a wholesale market for $3750, and then he sells all of them at a loss of 4%. How much money did he sell each sofa for?

(45)

Page 44 of 50

CÁC DẠNG BÀI CƠ BẢN

1. Chọn các ô trong bảng

1.1. Find pairs of the same value (tìm các ô có giá trị bằng nhau)

9.3 25% of 2 125% of 80 3.75

175% of 90 3.6 9 75% of 12.4

7.5 0.75% of 50 0.5% of 1500 225

40% of 22.5 157.5 0.375 0.8% of 450

100 150% of 150 50% of 7.5 0.5

1.2. Arrange the values in ascending order (sắp xếp theo thứ tự tăng dần) 1

9 0.09 1

5 9

92

0.4 1.2 9

95 0.8

9

85 1

7 1.25 1

6 3

2 0.6 1

8 9

83

1.3. Find pairs of the same value (tìm các ô có giá trị bằng nhau)

8m² 2686cm² 0.25 80% of 25 9

4.25 5 1

62 3.71 – 3.2 40% of 22.5

1.5 75% of 24.8 5m² 5cm² 1

3

1.25% of 120 20 0.51 82686cm²

18.6 50005cm² 25% of 1 50% of 8.5

(46)

Page 45 of 50 1.4. Arrange the values in ascending order (sắp xếp theo thứ tự tăng dần)

1.204 2.8 1

12 2.35

13

4 3.45 3

34 1

22

4.6 1.3 1

25 1.207

1.6 5.35 1.91 1

15

2. Hình học

Definition: triangle (tam giác), base (đáy), height (chiều cao), trapezium (hình thang), circle (hình tròn), circumference (chu vi hình tròn), radius (bán kính), area (diện tích), perimeter (chu vi), cuboid (hình hộp chữ nhật), cube (hình lập phương), total surface area (diện tích toàn phần), volume (thể tích)

2.1. Find the area of a triangle with base equal 42.5cm and height equal 5.2cm

2.2. To make a triangular road sign needs 22.4dm² of metal. Its height is 54cm. Find the corresponding base of the sign.

2.3. A trapezium has 2 bases: 9.4m and 6.6m; and the height is 10.5m. Find the area in square meter.

2.4. A trapezium-shaped garden has the average of 2 bases equal 125dm and the height is 150dm. Find the area of the garden in square meter.

2.5. A circular well has radius equal 3.2dm. Find the circumference of the well.

2.6. A trapezium-shaped field has the long base equal 150m and the short base equal 3 5 of the long base. The height equals to the average of 2 bases. People grow rice on the field and harvest 65kg of rice in every 100m². In total, how many tons of rice can be harvested in the field?

2.7. Find the total surface area of a cube with its side equal to 7.2dm

2.8. Cubes with side equal 1cm are used to build a cuboid of 12cm x 8cm x 6cm. How many cubes are needed?

(47)

Page 46 of 50 2.9. Each brick is 30cm long, 20cm wide and 0.5cm high. Each box contains 24 bricks.

Find the volume of the box.

2.10. 960 cubes with side equal 1cm are arranged as a cuboid with 12cm in length and 10cm in width. 6 faces of the cuboid are painted. How many cubes are painted in only 1 face?

3. Phần trăm

Definition: percent (phần trăm), percentage (tỉ số phần trăm) 3.1. 20% of a number equals 9.5. What is the number?

3.2. In a regular Math test, 72.5% of class 5A students got Excellent score, 20% got Good score and the other 3 students got Average score. How many students got Excellent score?

3.3. 57.5% of class 5E students are girls. The number of boys has 6 students less than that of girls. How many students are there in class 5E?

3.4. In semester I, 90% of students got Good score. The principal thought that if 45 more students got Good score, there would be 95% of students getting Good score. How many students got Good score in semester I?

3.5. Cube A has its side equal 2 times of the side of cube B. Find the percentage between cube B’s total surface area and cube A’s

3.6. In order to increase the volume of a cuboid tank, people increase the length of the tank and keep the width and the height unchanged. The area of the base increases by 75% and the tank can contain 1500 more liters of water. Find the volume of the tank before change?

3.7. 55% of students in a school are boys. The number of boys is 120 more than that of girls. How many students in the school?

3.8. In an event, a shop discounted a phone’s price by 10% and still got 8% profit. If the shop had not discounted the phone’s price, how much would the profit have been?

3.9. In 3 days, a group of workers fixed a road of 3km50m. On day 1, the group fixed 30% of the road, on day 2, the group fixed 45% of the road. What is the length of the road did the group fix on day 3?

3.10. If the length of a rectangle increases by 25%, how many percent does the width decrease so that the area is unchanged?

(48)

Page 47 of 50

4. Tổng – Hiệu – Tỉ số

Definition: sum (tổng), difference (hiệu), ratio (tỉ số)

4.1. Sum of 2 number equals 86.25. 1

2 of the first number equals 1

3 of the second number. Find the first number.

4.2. A factory has 2 stores. 1

5 of the first store’s goods equals 1

3 of the second one’s.

How many tons of goods are there in 2 stores given that the difference of goods between 2 stores is 39 tons?

4.3. Sum of 2 numbers is 218. If the smaller number plus 5 and the larger number plus 9, the ratio of 2 new numbers is 3

5 . Find the larger number.

4.4. Sum of 2 numbers is 136.5. The first number times 0.6 equals the second one times 0.8. Find the first number.

4.5. 3 classes 5A, 5B and 5C receive a number of books. 5A gets 1

3 of the books and 5 books; 5B gets 1

4 of the books and 27 books and the rest of 118 books belong to 5C.

How many books does 5A get?

4.6. Sum of 2 numbers is 340.8 and the ratio is 3

5 . Find the smaller number.

4.7. Difference of 2 numbers is 114.9 and the ratio is 5

8 . Find the larger number.

4.8. Difference of 2 numbers is 87.6 and the ratio is 3

5 . Find the smaller number.

4.9. A rectangular field has perimeter of 480m and the width equals 3

5 of the length. Find the length

5. Vận tốc

Definition: distance (khoảng cách), time (thời gian), speed (tốc độ)

5.1. At 6:15, a person travels from A to B. He arrives B at 9:15 and the distance AB is 135km. What is his speed?

(49)

Page 48 of 50 5.2. It takes 2 hours for a car to travel from A to B at 50km/h. How long does it take for a

motorbike to travel from A to B at 40km/h?

5.3. A car travels from A to B in 5 hours. During the first 2 hours, the car’s speed is 40km/h and during the last 3 hours, the car’s speed is 50km/h. Find the average speed of the car.

5.4. After school, Lan walks back home at speed of 4km/h. After 15 minutes, her father picks her up and gets back home at speed of 40km/h. How long is it from Lan’s house to school? Given that her father takes her back home in 6 minutes.

5.5. A car travels 90km in 1.5 hours. How long does it take for the car to travel 135km at the same speed?

5.6. At 7:00, a motorbike travels from A to B at 40km/h. At the same time, a car travels from B to A at 45km/h. What time do they meet each other given that distance AB is 127.5km?

5.7. A car travels from A, passing B to C. At the same time, a motorbike travel from B to C. After 3 hours 48 minutes, the car meets the motorbike. AB is 102.6km and the car’s speed is 5

3 of the motorbike’s. Find the speed of the car.

5.8. Distance AB is 120km. At 5:00, a car travels from A to B in 2 hours and 30 minutes.

At the same time, a motorbike travels from A to B at the speed equal 2

5 of the car’s.

How long, after the car arrives B, does the motorbike arrive B?

6. Toán tính tuổi

6.1. Hoa has a birthday party every 4 years. 2008 is the third birthday party since she was born. How old is she in 2010?

6.2. The father is 40 years old and the son is 10 years old. How old is the son when the father’s age is 3 times the son’s?

6.3. Sum of ages of mother and daughter is 48 now. 3 years ago, the mother’s age is 5 times of the daughter’s. How old is the mother now?

6.4. The average age of 35 students is 11. If including the teacher, the average age is 12.

How old is the teacher?

6.5. Sum of ages of mother and daughter is 54. 3 years later, mother’s age is 3 times daughter’s age. How old is the daughter now?

(50)

Page 49 of 50 6.6. Now mother’s age is 4 times of daughter’s. 4 years ago, mother’s age was 6 times of

daughter’s. How old is the mother now?

6.7. When adding ages of 2 in 3 people: mother, father and grandfather, the sums are 75;

105 and 110. How old is the grandfather?

7. Các bài toán về số

Definition: unit (đơn vị), digit (chữ số), decimal number (số thập phân), decimal point (dấu thập phân, dấu phẩy), fraction (phân số), numerator (tử số), denominator (mẫu số), whole number (số tự nhiên), odd (lẻ), even (chẵn), divisible (chia hết), remainder (số dư), average (trung bình cộng)

7.1. When shifting the decimal point of a decimal number A to the left by 1 digit, A is decreased by 11.106. Find A.

7.2. We have 51

101 . If the denominator minus a whole number and the numerator plus the same number, we have a new fraction equal to 3

5 of the original fraction. Find the whole number.

7.3. We have 51

109 . How many units are moved from the denominator to the numerator so that the new fraction equals 3

4 of the original one

7.4. A street has 15 houses. All houses are numbered with consecutive even numbers. The sum of all numbers in the street equals 915. What is the number of the first house?

7.5. Compare 1 1515 151515

; ;

3 4545 454545

7.6. Find a71b, given that the number is the largest 4 digit number which is divisible by 2; 3 and 5

7.7. Find a36b, given that the number is a 4 digit number and when the number is divided by 2; 5 and 9, the remainder is always 1.

7.8. Find the maximum value of A such that 2

5 A 4

7.9. Find a whole number. If digit 0 in ones place of the number is removed, the number is decreased by 1809.

(51)

Page 50 of 50 7.10. The average of 2 numbers is 87.5 and the difference is 9.6. find the smaller

number.

8. Toán tỉ lệ

8.1. A group stores food for 650 peoples to consume in 40 days. The food is sufficient for 400 people in …………days.

8.2. The first worker completes a job alone in 9 days. The second worker completes the same job alone in 18 days. The two workers together can complete the job in

…………..days.

8.3. The first tap can fill an empty tank in 2 hours. The second tap can fill the same tank in 3 hours. How many hours is it for both taps to fill the empty tank?

8.4. 2 workers complete a job in 6 hours. The first worker can complete the job alone in 10 hours. How many hours does it take the second worker to complete the job alone?

8.5. An studies at school 3 hours and 15 minutes a day. Each week An has 5 school days.

How much time does An study at school in a week?

8.6. A worker makes 3 products in 42 minutes and 30 seconds. How much time does it take for him to make 1 product?

8.7. A worker makes 7 products in 85 minutes and 45 seconds. How much time does it take for him to make 15 products?

Tài liệu ôn tập Violympic toán tiếng anh lớp 5

PRACTICE MATERIALS FOR

MATH VIOLYMPIC GRADE 5

2016

CONTENTS

ROUND 1

ROUND 2

ROUND 3

ROUND 4

ROUND 5

ROUND 6

ROUND 7

ROUND 8

ROUND 9

ROUND 10

CÁC DẠNG BÀI CƠ BẢN

1. Chọn các ô trong bảng

2. Hình học

3. Phần trăm

4. Tổng – Hiệu – Tỉ số

5. Vận tốc

6. Toán tính tuổi

7. Các bài toán về số

8. Toán tỉ lệ