Free Printable m4 v10 2021

1.

Write $\frac{336}{576}$ in its simplest form, we have:

a)

$\frac{7}{12}$

b)

$\frac{7}{16}$

c)

$\frac{5}{16}$

d)

$\frac{5}{12}$

2.

What is the smallest 3-digit number which is divisible by 9?

a)

18

b)

100

c)

108

d)

109

3.

What value does the 5 represent in the number 145 987 632?

a)

5000

b)

50 000 000

c)

5 000 000

d)

500 000

4.

Find the 36^th number of the following sequence: 5, 11, 17, 23, 29, ….

a)

215

b)

221

c)

227

d)

210

5.

Which is the smallest fraction in the followings?

a)

$\frac{5}{8}$

b)

$\frac{11}{12}$

c)

$\frac{7}{9}$

d)

$\frac{13}{18}$

6.

Pens are sold in packs of 10 or 25. Sophia buys exactly 95 pens. What is the smallest number of packs she could buy?

a)

4

b)

5

c)

6

d)

8

7.

Three cakes cost $45 and seven cups of fruit tea cost $56. How much would it cost to buy 8 cakes and 16 cups of fruit tea?

a)

$208

b)

$217

c)

$304

d)

$248

8.

In a year, if June 3 is Friday, what day is July 17?

a)

Saturday

b)

Sunday

c)

Monday

d)

Tuesday

9.

Ken creates a 2 – character code. The first character is chosen from the word MATHEMATICS and the second from the number 2021. How many different codes could he create?

a)

24

b)

27

c)

32

d)

44

10.

In a row of girls, Wendy is the 15^th person from both ends. How many girls are there in this row?

Answer: …………… girls.

(a)

11.

Which of the following number is not divisible by 3?

a)

637692

b)

409288

c)

470952

d)

976926

12.

Sunny scored the following marks in her exam: Mathematics 97, English 85, Science 91 and History 87. What is her average mark?

(a)

13.

What is the least number greater than 328 whose sum of the digits is 13?

(a)

14.

If $\overline{3\ ...\ ...\ 8\ ...}$ is divisible by both 3 and 5, then what is the smallest possible value of $\overline{3\ ...\ ...\ 8\ ...}$ ?

(a)

15.

What is the smallest common denominator of the fractions $\frac{7}{12};\ \frac{13}{15};\ \frac{5}{9}$

(a)

16.

The sum of fifteen odd consecutive numbers is 315. What is the largest numbers among them?

(a)

17.

Calculate $\left(55230\ :\ 35\ -\ 13776\ :\ 14\right)\ :\ \left(\frac{1}{6}-\ \frac{1}{10}\ -\ \frac{1}{15}\right)$

(a)

18.

The product of two 2 – digit numbers that are divisible by 10 is 4000. What is their difference?

(a)

19.

What is the value of:

28 x 2 + 28 x 4 + 28 x 6 + 28 x 8 + … + 28 x 26 + 28 x 28

(a)

20.

Find the value of A if $\frac{A}{24}\ =\ \frac{75}{100}$

a)

18

b)

15

c)

16

d)

22

21.

The following chart shows the number of students of 4 classes. If they give each student 16 books, then how many books do they need in total?

(a)

22.

How many square are there?

a)

9

b)

14

c)

10

d)

13

23.

Let n be the sum of the smallest different 3-digit number and the largest 5-digit number. Find the sum of all digits of n.

(a)

24.

The digit 8 in which number represents a value of 800 000?

a)

24 587 641

b)

89 634 517

c)

45 896 543

d)

78 637 591

25.

Find the value of a such that the number is divisible by 9.

(a)

26.

The total number of books Selina and Alvin have is 49 books. Alvin has 15 more books than Selina. How many books does Alvin have?

a)

27

b)

32

c)

17

d)

34

27.

The average of all consecutive odd numbers from 12 to 18 is:

a)

15

b)

14

c)

16

d)

13

28.

How many figures below are one-third shaded?

a)

5

b)

3

c)

4

d)

6

29.

After you open a book, you notice that the sum of the two page numbers on the facing pages is 249. What is the product of these two page numbers?

(a)

30.

What is the perimeter of the following parallelogram?

a)

12dm

b)

756cm²

c)

144cm

d)

120cm²

31.

Known that ABCD is a parallelogram. Find the sum of x and y.

(Write your answer as a fraction in the simplest form a/b)

(a)

32.

Find the value of x such that the number is divisible by 2 and 5.

(a)

33.

What is the number between 268 178 and 268 190 which is divisible by 9?

(a)

34.

In a meeting, there are 4016 participants. The first man shakes hand with 27 women, the second man shakes hand with 28 women, the third man shakes hand with 29 women and so on. In the end, the last man shakes hand with all women. How many women are there in this meeting?

Answer: …………..women.

(a)

35.

What is the sum of the digits of the product 42 × 4 × 2 × 25 × 5?

a)

24

b)

42

c)

9

d)

6

36.

Jena, Martha and Veronica share some marbles. If Jena gives 17 marbles to Martha, Martha gives 25 marbles to Veronica and Veronica gives 8 marbles to Jena, then each chid has the same number of marbles. How many more marbles does Jena have than Veronica initially?

Answer: …………..marbles.

(a)

37.

How many parallelograms are there in total in the figure below?

a)

19

b)

25

c)

23

d)

21

38.

There are two classes. If 16 students were transferred from the second class to the first class, the amount of students in the first class will be 25 more than the second class. Initially, how many fewer students does the first class have than the second class?

(a)

39.

What is the area of the following parallelogram?

a)

24cm²

b)

32cm²

c)

40cm²

d)

52cm²

40.

The sum of 2 numbers is 250. If we write digit 2 to the leftmost of the first number (which is a 2 – digit – number), then we get the second number. The second number is …………….

(a)

41.

In a cage the number rabbits is 18 fewer than that of chickens. The total number of legs is 252. What is the total number of rabbits and chickens?

(a)

42.

Write the number “eighty-seven million, two hundred six thousand, five hundred ninety-one”.

a)

87 206 591

b)

87 260 519

c)

87 260 591

d)

78 206 591

43.

Find the value of expression: 64 + 12 x n for n = 26.

a)

1976

b)

386

c)

1676

d)

376

44.

In the 4 × 4 square table shown below, what is the total number of squares with sides falling on the grid lines and containing ∇?

a)

11

b)

8

c)

10

d)

9

45.

Find the sum of the largest 5-distinct-digit number and the smallest 4 - digit number?

a)

99 788

b)

100 999

c)

99 765

d)

101 022

46.

What is the value of $\frac{12\times15\times3}{16\times9\times10}$

a)

$\frac{1}{8}$

b)

$\frac{1}{4}$

c)

$\frac{3}{4}$

d)

$\frac{3}{8}$

47.

A students is doing 50 test questions. She gets 10 points for each correct answer. However, for each incorrect answer, she will be deducted 5 points instead of getting 10 points. If her mark is 320 points, how many questions does she get incorrectly?

a)

18

b)

16

c)

14

d)

12

48.

By reversing the positions of the digits of 101, that number remains the same. How many numbers that remains the same when reversing the positions of the digits are there between 100 and 1000?

a)

81

b)

100

c)

99

d)

90

49.

Billy takes a short nap after school. As he falls asleep the clock reads 3:54 p.m. He wake up at 4:28 p.m. How many minutes does Billy take a nap?

Answer: ……………. minutes.

(a)

50.

During a year, how many months are there which have the thirtieth?

a)

2

b)

5

c)

11

d)

8

51.

Find a 2 – digit number if the sum of its digits is 16 and the tens digit is 2 more than the units digit.

(a)

52.

Tony borrows $612 from his mother to buy a laptop. He pays back $18 per week. How many weeks will it take to pay back his mother?

a)

32

b)

33

c)

35

d)

34

53.

Which of the following number is divisible by 9?

a)

389 304

b)

350 864

c)

151 206

d)

458 713

54.

The total price of an eraser, a pen and a ruler is 11 500 dong. A pen, a ruler and a stapler cost 15 500 dong. An eraser and a stapler cost 10 000 dong. The price of a pen is 1500 dong higher than a ruler. What is the cheapest among those things?

a)

the eraser

b)

the pen

c)

the ruler

d)

the stapler

55.

What is the unit digit of:

a)

9

b)

1

c)

7

d)

3

56.

There are 32 girls in a class, 16 of whom participate in Dance club, 15 in Swimming club, 13 in Singing club. It is known that 2 girls participate in all three club and each girl participates in at least one club. If three girls participate in both Singing and Dance clubs, and six girls participate in both Dance and Swimming clubs. How many girls are there that participate in both Singing and Swimming clubs?

(a)

57.

How many numbers between 2021 and 9876 are divisible by all of 2, 3, 5, 9?

a)

85

b)

86

c)

87

d)

88

58.

The teacher has some candies. If she divides these candies equally into 6, 8 and 11 bags, then she will have 4, 6 and 9 candies left, respectively. How many candies does the teacher have at least?

Answer: …………… candies.

(a)

59.

The cost of 25 watermelons and 26 grape fruits is $127. The cost of25 grape fruits and 26 watermelons is $128. What is the total cost of 46 watermelons and 54 grape fruits?

Answer: ……………

(a)

60.

Find the area of a rectangle (in square decimeters) if its length is 86dm longer than its width and its perimeter is equal to the perimeter of a square whose area is 121m².

(a)

61.

What is the sum of the first 2021 numbers of the following sequence?

a)

11429

b)

11458

c)

11424

d)

11451

62.

To number page of a book from Page 1, the author uses 900 digits. How many pages does this book have?

Answer: ………..pages.

(a)

63.

The product of two distinct natural numbers is 210. What is their minimum possible difference?

(a)

64.

If a different number chosen from 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 is used to fill each bracketed space in the expression $\Delta+\Delta\times\Delta-\Delta$ , what is the maximum value to be obtained?

a)

151

b)

81

c)

97

d)

161

65.

A school has 360 students. Each bus can fit 26 students. What is the least number of buses they need for all students?

a)

12

b)

14

c)

13

d)

15

66.

2 boxes have 42 marbles. If we add 4 marbles to the first box and 6 marbles to the second box, then the number of marbles in the first box are 6 more than the second box. Originally, how many marbles are there in the first box?

(a)

67.

A chicken weighs 2kg 32dag and a duck weighs 35hg 19g. What is their total weight?

a)

5839g

b)

5551g

c)

2401g

d)

3751g

68.

Compute: $\frac{21}{69}+\frac{16}{92}+\frac{12}{23}-\frac{32}{54}$

a)

$\frac{11}{27}$

b)

$\frac{11}{23}$

c)

$\frac{17}{54}$

d)

$\frac{17}{23}$

69.

What is smallest nonzero number that is divisible by all of 2, 4, 5, 6?

(a)

70.

Find a such that

4210 – a $\times$ 6 – 412 = 1908

(a)

71.

If you want to write all page numbers off a comic start from page 1 which has 212 pages, how many digits do you need to use?

a)

212

b)

528

c)

339

d)

523

72.

Knowing $\frac{12}{84}+\frac{34}{56}-\frac{51}{85}=\frac{a}{b}$ , where $\frac{a}{b}$ is written in the simplest form. Find the remainder when b is divided by a.

a)

3

b)

1

c)

2

d)

6

73.

The average weight of Jane, Mary and Rose is 39kg. Rose weighs 14000g heavier than Jane. Mary’s weight is 350hg less than the total weight of Jane and Rose. What is Jane’s weight (in kilograms)?

(a)

74.

Divide 650 students equally into some rows to line up to exercise and there are no more students left. The distance between the first student and the last student in each row is 144m, and the distance between two adjacent students is 6m. How many rows are there?

(a)

75.

Some students are lined up in a rectangular array. Helen is the 24^th student in her row from the left, and the 19^th from the right. There are 17 students in front of her 28 students behind her in the same column. How many students are in the line-up?

Answer: ……………….students.

(a)

76.

The diagram shows a figure obtained by putting together 12 identical squares. If the perimeter of the figure is 39dm, what is the area of the figure (in square decimeters)?

Answer: ……………..dm².

(a)

77.

There are 36 boxes in total, 8 of them are red and the rest are green and blue. The number of blue boxes is 4 more than that of green boxes. There are 27 marbles, 30 marbles and 45 marbles in each blue box, green box and red box, respectively. How many marbles does each box have on average?

a)

29

b)

32

c)

33

d)

35

78.

Compute: $\frac{2018\ \times\ 2017\ -\ 18}{2000\ +\ 2018\times2016}$

(a)

79.

A store has several bags of rice. In the morning, the store sells half of them and 18 bags. In the afternoon, the store sells half of the rest from the morning and 9 bags. After the afternoon, there are 63 bags left. How many bags of rice does the store have initially?

Answer: …………..bags.

(a)

80.

Define ⊗ as the operation symbol to satisfy a ⊗ b = 123 x a – b. What is the value of (22⊗11) ⊗ 36?

a)

332838

b)

343749

c)

330219

d)

331449

81.

Gemma has 15 shirts and 11 pairs of jeans. How many different combinations with one shirt and one pair of jeans can she make with these items?

(a)

82.

In a 6 × 6 table, each row and each column contains the numbers 1, 2, 3, 4, 5 and 6 exactly once. All but four of the squares have been filled in. Which of the following should be chosen to fill in the blank squares?

a)

b)

c)

d)

83.

Five classes (4A, 4B, 4C, 4D, 4E) have planted trees together. The average number of trees, planted by each class 4A and 4B is 79, the average number of trees planted by each class 4C and 4D is 68 and class 4E have planted 81 trees. What is the average number of trees planted by each class?

(a)

84.

A square piece of paper, with a perimeter of 18dm, is cut into five identical rectangles as shown in the figure below. What is the perimeter of each rectangle that was cut out (in centimeters)?

a)

36

b)

108

c)

72

d)

54

85.

A class has a total of 48 students. 24 of them are able to jump rope, 32 of them are able to ride bicycles and 7 of them are unable to do either. How many students in this class are able to ride bicycles but are not able to jump rope?

(a)

86.

If Jasmine buys 8 teddy bears, she will have $22 left. If she buys 10 teddy bears, she will be $10 short. All teddy bears are at the same price. How much dollars does Jasmine have?

(a)

87.

The age of Susan 9 years later is equal to the age of her mother 15 years ago. Now the total age of Susan and her mother is 90. What is the age of her mother 18 years later?

(a)

88.

Eight students stand along a circle and starts to call out some numbers one-by-one. Adelaide calls out “1”, Bonnie calls out “2”, Celina calls out “3”, Daria calls out “4”, Elizabeth calls out “5”, Fiona calls out “6”, Irene calls out “7” and Lisa calls out “8”. Then it returns back to Adelaide who calls out “9” and so on, where each student increase the previously called number by one and call it out. Which student calls out the number “2021”?

a)

Lisa

b)

Elizabeth

c)

Irene

d)

Daria

89.

Consider all natural numbers whose digits do not contain the digit and the sum of its digits is equal to 4, then arrange them in ascending oder. What is the sum of the four smallest numbers that satisfy the conditions?

(a)

90.

Martin has a dozen of yellow boxes. In each yellow box, there are 7 green boxes. In each green box, there are 3 black boxes. How many boxes does he have in total?

(a)

91.

A school has arranged their students overnight at school. If each room has 28 students, there will have 192 students left out. If each room has 36 students, there will have no students left out. What is the total number of students having overnight at school?

(a)

92.

Four children namely Angele, Bella, Jessica and Sophia all paid the same amount of money to buy some books together. After distributing the books, Angela, Bella and Jessica receive 8, 13 and 11 books more than Sophia, respectively. As such, to be fair, Angele, Bella and Jessica gave back a total of $64 to Sophia. What is the price of each book, given that they are of the same price?

a)

4

b)

2

c)

8

d)

16

93.

The perimeter of a rectangle is 20m. What is the maximum value of the area of this rectangle?

Answer: ………..m².

(a)

94.

Jennie and Rose are assigned the same number of exercises. It takes both of them a total of 154 days to complete and Jennie does 2 weeks more than Rose does. Given that Jennie does 3 exercises per day fewer than Rose, how many exercises is each child assigned? (Both children does at a constant productivity from the beginning until the end).

a)

150

b)

1512

c)

1260

d)

1680

95.

Compute: $\frac{2019\times2019\ -\ 2018\times2020}{20192019\times20192019-20192018\times2019020}$ =

(a)

96.

The following chart shows the ages of a group of teachers. What is their average age?

a)

30

b)

33

c)

27

d)

29

97.

How many different 3-digit numbers are there such that the sum of its digits equals 11?

a)

58

b)

54

c)

61

d)

46

98.

The sum of five different natural numbers is 17. How many different values can their product take?

a)

6

b)

7

c)

1

d)

3

99.

What are the last three digits of the sum

a)

484

b)

714

c)

604

d)

264

100.

There are 100 trees planted along the road divider with tree planted at opposite ends. The trees are planted at regular intervals of 8m. If some lamp-posts are to be placed along the opposite side of the road at regular intervals of 12m, how many lamp-posts are required on the opposite side of the road (lamp-posts are placed at opposite ends of the road)?

a)

67

b)

69

c)

68

d)

65

101.

Given a rectangle whose perimeter is 2m and its length is 36cm longer than its width. If its length is decreased by 1dm and its width is increased by 14cm, how does the area of this rectangle change?

a)

Increase 492cm²

b)

Increase 692cm²

c)

Increase 92cm²

d)

Decrease 772cm²

102.

Given that a = 13, b is the average of a and 21, c is the average of b and 28. The value of M = a + 2 × b – c is:

a)

20

b)

60

c)

28

d)

85

103.

Henry, Ken, John are assigned to clean up the classroom. Henry does every 7 days, Ken does every 6 days and John does every 9 days. Today they clean up the classroom together. From today, at least how many more days will they clean up together?

(a)

104.

The sum of a 2 – digit number and a 3-digit number is 188. The five digits used to form these two numbers are all different. How many such 3-digit numbers are there?

a)

12

b)

20

c)

24

d)

16

105.

Andy gives 35 chocolates to a group of friends. The numbers of chocolates they receive are consecutive natural numbers. How many people does this group have at most?

a)

5

b)

6

c)

8

d)

7

106.

Given a 3-digit number whose digits have a sum of 21. The tens digit is 2 less than the units digit and 2 more than the hundreds digit. What is this number?

(a)

107.

Given that half of perimeter of a rectangle is 25 centimeters. The length is 7cm longer than the width. The area of that rectangle is ……………cm².

(a)

108.

The first truck takes 25 tons of cargo, the second truck takes 21 tons of cargo and the number tons of cargo the third takes is equal to the average of 3 trucks. How many tons of cargo do all trucks take?

(a)

109.

The following chart shows the number of trees planted by each class. How many more trees does class 4D plant than class 4C?

Answer: …………..trees.

(a)

110.

Cut the 6 x 6 square table into rectangecs along grid line such that no two rectangecs are identical. What is the maximum number of rectangecs one can get?

(Note: A square is considered a rectangle.)

a)

7

b)

8

c)

10

d)

9

111.

In the following queue, if Fiona moves 9 positions to the left then Gina moves 3 positions to the right, Harmony is in which position from the left?

a)

8^th

b)

6^th

c)

9^th

d)

7^th

112.

Ms Maura sells 56 oranges and 84 oranges on the first day and the second day, respectively. The number of oranges she sells on the third day is 9 more than the average number of oranges sold on the first two days. How many oranges does she sell on 3 days?

a)

219

b)

289

c)

201

d)

79

113.

Crystal has 150 candies. She eats two candies on the first day. Each day after, she eats twice as many as the previous day, until all candies have been eaten. How many candies does she eat one the last day?

(a)

114.

In the magic square below, the sum of each row, column and diagonal is the same. What is the product of D and F?

a)

12741

b)

14933

c)

16851

d)

13407

115.

Suppose $\overline{ab}$ is a 2 – digit number, and a is smaller than b, how many $\overline{ab}$ ’s are there that satisfy conditions above?

a)

48

b)

45

c)

40

d)

36

116.

38 apples have the same mass as 2 watermelons and 9 pears. 4 apples have the same mass as 3 pears. How many apples have the same mass as 1 watermelon?

(a)

117.

After Merlin gave John 5 crayons, both of them had the same number of crayons. How many more crayons did Merlin have than John at first?

a)

8

b)

5

c)

10

d)

7

118.

The following chart shows the number of fruits sold in a supermarket. What is the second most popular fruit?

a)

Pear

b)

Mango

c)

Peach

d)

Apple

119.

In reading a book, Cindy reads 3 more pages each day than the preceding day. On the fifth day, she reads 50 pages. After 2 weeks, she still has 96 pages to go. How many pages are there in this book?

(a)

120.

The result after carrying out 4 continuous calculations: subtract 8954, divide by 314, add 2021, multiple by 226 is 629,636. What is the initial number?

(a)

121.

The smallest fraction among $\frac{27}{15};\frac{80}{124};\frac{72}{68};\frac{133}{217}$ is

a)

$\frac{80}{124}$

b)

$\frac{27}{15}$

c)

$\frac{133}{217}$

d)

$\frac{72}{68}$

122.

After the first term, in class 4A; of students have excellent grades. Known that in total, students with good and excellent grades account for students in the class. What fraction below indicates the ratio of students having good grades to all students in class 4A?

a)

$\frac{5}{36}$

b)

$\frac{7}{36}$

c)

$\frac{1}{36}$

d)

$\frac{29}{36}$

123.

24 years + x year (s) = $\frac{1}{4}$ century. What is the value of x?

a)

3

b)

4

c)

1

d)

6

124.

Find x such that: $\frac{12}{34}-x\ =\ \frac{16}{136}$ .

a)

$\frac{7}{17}$

b)

$\frac{4}{17}$

c)

$\frac{5}{34}$

d)

$\frac{7}{34}$

125.

How many natural numbers x satisfying $\frac{2}{7}<\frac{x}{5}<\frac{5}{7}$ ?

a)

3

b)

14

c)

2

d)

7

126.

Mark has 32 hedgehogs. After selling $\frac{1}{4}$ of the hedgehogs, Mark keeps the remaining hedgehogs in 6 cages. How many hedgehogs are there in each cage?

a)

5 hedgehogs

b)

3 hedgehogs

c)

4 hedgehogs

d)

6 hedgehogs

127.

In a running contest, Anna runs for $\frac{1}{4}$ hour, Tom runs for $\frac{1}{6}$ hour, David runs for $\frac{1}{5}$ hour, John runs for 11 minutes. Who runs fastest?

a)

Tom

b)

John

c)

Anna

d)

David

128.

How many of below fractions are greater than $\frac{3}{7}$ ?

$\frac{24}{56};\frac{18}{48};\frac{56}{98};\frac{42}{78}$

a)

4

b)

1

c)

2

d)

3

129.

How many two – digit numbers are there such that at least one digit is divisible by 4?

a)

42

b)

25

c)

40

d)

41

130.

When two numbers are divided by 6, the remainders are 5 and 3 respectively. What will the remainder be if the sum of this two numbers are divided by 6?

a)

0

b)

1

c)

5

d)

2

131.

The value of A + $\frac{15}{18}$ , such that biết rằng: $\frac{15}{36}+A\ =\ \frac{7}{12}$ , is …….

(a)

132.

Computer the sum: $\frac{33}{54}+\frac{24}{78}+\frac{7}{18}+\frac{18}{26}$

(a)

133.

How many of below fractions are greater than 1?

$\frac{57}{68};\frac{34}{63};\frac{87}{57};\frac{93}{25};\frac{41}{95}$

(a)

134.

The average of $\frac{5}{13};\frac{2}{13}$ and $\frac{6}{13}$ is ……..

(a)

135.

The average of three numbers is 1. The first number is $\frac{7}{9}$ , the second number is $\frac{2}{3}$ What is the third number?

(a)

136.

Find x such that:

$\frac{1212}{3434}+x\ -\ \frac{13}{102}=1+\frac{5}{102}$

(a)

137.

A house has two windows. Each window is 1m 2dm wide, each windows bar is m separated from. There are no window bars at either end of the window. How many windows bar does the house have?

(a)

138.

Tom has a rectangular land that is long. The length is longer than the width. Half of that land is used to plant trees, and the area is used to make roads. What is area of the remaining land in m²?

Answer: ………m²

(a)

139.

Suppose in subtraction problem, the units digit of the subtrahend and the tens digit of the minuend are written as 7 mistakenly instead of 1, and result is 560. Find the original answer to the problem.

(a)

140.

In this multiplication, L, M and N are different digits. What iss the value of L + M + N?

(a)

m4 v10 2021

Total questions: 140

Worksheet time: 2hrs 44mins

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