Unit 2 Year 4

Topic 2 – Fractions PAPER 1 This question paper consists of 50 questions. Answer all questions. The diagrams in the questions provided are not drawn to scale unless stated. 1. Which of the following is a proper fraction? 4 7 A C 4 6 1 11 B D 10 5 2. Which of the following is not a proper fraction? 11 3 A C 4 8 5 8 B D 7 9 1 is the lowest term for the following fractions, except 4 2 4 A C 8 16 4 3 B D 12 20 1 4. Which of the following is less than 5 ? 1 1 A C 2 4 1 1 B D 3 8 3.

5. Which of the following is not true? 1 1 > A C 10 5 1 1 B > D 2 3 6.

7 = 9 A seven point nine B nine point seven

C D

1 1 > 4 7 1 1 > 3 6

seven ninths nine sevenths

1

7. Diagram 1 shows a number line.

0

1 7

A

B

1

DIAGRAM 1 What is the value of A + B? A 0 B 1

C D

2 3

8. Diagram 2 shows a number line. 0

1 10

K

1 2

9 10

DIAGRAM 2 What is the value of K? 1 A 5 2 B 5

3 5 4 D 5 C

9. Diagram 3 shows a rectangle made up of smaller equal rectangles.

DIAGRAM 3 What is the fraction of the shaded area in the diagram? 3 9 A C 10 8 2 5 B D 5 8 10. Simplify A B 11.

6 = 9

2 3 1 3

C D

2 6 1 6

A 25 = 6 30 Find the value of A. A 5 B 4

C D

3 2 2

12.

13.

3 Q = 4 16 Find the value of Q. A 16 B 15

C D

6 = 24 1 A 4 1 B 6

C D

14. The equivalent fraction of A B

12 9

1 8 1 12

7 is 9

7 18 14 18

C D

7 19 14 19

15. Which of the following does not have the same value as A B

4 6 6 9

C D

2 ? 3

4 12 12 18

16. Complete the following sequence. ,

A B

17.

5 12 6 12

3 1 + = 4 8 1 A 4 1 B 8

5 9 6 D 9

C

5 8 7 D 8

C

18. Diagram 4 is made up of equilateral triangles of the same size. 3

DIAGRAM 4 State the fraction that represents the shaded area of the whole diagram. A B

7 9 6 9

5 9 4 D 9

C

19. Find the sum of A B

0 1

20. Calculate A B

6 6 5 6

1 5

and

4 . 5

C D

5 10

2 1 + . 6 2 4 6 3 D 6

C

21. Which of the following sums has the smallest value? 1 3 1 3 + + A C 5 10 8 4 1 1 1 3 + + B D 4 2 2 8 22. Which of the following sum has the biggest value? 3 2 1 1 + + A C 10 5 2 5 1 2 1 1 + + B D 10 2 2 5 23. Which of the mathematical equations is not true? 1 1 2 1 1 + = A + =1 C 2 2 5 2 7 1 1 3 1 1 1 + = + = B D 4 2 4 6 3 2 24.

2 1 + = 8 2 1 A 4 3 B 4

1 8 3 D 8 C

4

25.

26.

3 1 + = 10 2 1 A 10 4 B 10

C

1 2 + = 5 10 2 A 5 4 B 5

C

3 5 4 D 5

3 10 3 D 15

1 1 of a pandan cake while Siti has of the same cake. What fraction of the 5 2 pandan cake do they have altogether? 3 9 A C 10 10

27. Sarah has

B

7 10

D

1

1 m of rope while Ahmad has 2 length of their ropes. 3 1 A m C 4 4 1 4 B m D 2 4

28. Ali has

1 m of the same type of rope. Find the total 4 m m

1 4 kg of potatoes. Then, he bought another kg of potatoes. How 3 9 many kilograms of potatoes does he have now? 7 2 A kg C kg 3 9 5 B kg D 1 kg 9

29. Pak Kassim has

7 1 of a pizza. His brother ate of the same pizza. State the portion of the 10 5 pizza eaten by them in the form of a fraction. 9 7 A C 10 10 8 10 B D 10 10

30. Roslan ate

31. Complete the following equation. 5

1 1 2 + = + 2 5 10 A B

32.

3 10 4 10

1 4 1 D 2 C

4 1 − = 5 5 2 A 5 3 B 5

4 5 5 D 5 C

1 5 and ? 2 8 5 C 8 7 D 8

33. What is the difference between A B

1 8 3 8

34. Calculate the difference when A B

1 5 3 5

35. All the following are less than A B

1 3 1 6

3 9 . is subtracted from 5 10 1 C 10 3 D 10 1 , except 5 1 C 8 1 D 10

36. Which of the following is true? 3 1 4 − = A 5 5 5 3 1 2 − = B 4 2 2 37.

9 2 − = 10 5 4 A 5 3 B 5

4 1 1 − = 6 2 6 1 2 7 − = D 2 10 10 C

1 2 1 D 4 C

6

38. Ling Ling bought a cake and ate 5 8 3 8

A B

5 of the cake. How much cake is left? 8 3 C 4 1 D 4

5 of the class are boys. Find the difference between the number of boys 8 and girls in fraction. 1 3 A C 8 8 1 1 B D 2 4

39. In class 4K,

1 1 of the windows in the classroom while Vivian wipes another of the 9 3 windows. Find the difference in the number of windows wiped by both of them in fraction. 1 8 A C 6 9 2 2 B D 3 9

40. Laila wipes

41.

5 − 6

=

1 6

What is the value in the empty box above? 4 2 A C 3 6 1 1 B D 2 6 42.

43.

–

10 A 3 B 4

2 1 = 5 10

7 2 − = 9 3 4 A 9 3 B 9

C D

5 6

2 9 1 D 9 C

44. Diagram 5 shows a number line. 7

0

3 5

P

Q

1

DIAGRAM 5 Find the value of Q – P. 1 A 5 2 B 5 45.

3 5 4 D 5 C

4 1 − = 8 4 3 A 8 1 B 8

3 4 1 D 4 C

1 1 of his salary for daily expenses and for house rental. What is the difference 3 6 between the two fractions? 1 1 A C 4 6 1 1 B D 5 3

46. Alan allocates

47. Diagram 6 shows a rectangle which is made up of smaller equal squares.

DIAGRAM 6 State the shaded area as a fraction in the lowest term. 1 4 A C 6 2 3 B D 1 6 48. Convert A B

24 32 12 16

48 into a fraction of the lowest term. 64 6 C 8 3 D 4

49. Diagram 7 shows a number line 8

0

1 6

P

DIAGRAM 7 What is the value of P? 1 A 9 3 B 6 50.

1 5 + = 4 8 7 A 8 6 B 8

C

2 3

D

1

3 4 2 D 4 C

PAPER 2 9

This question paper consists of 30 questions. Answer all questions. The diagrams in the questions provided are not drawn to scale unless stated. 1. Diagram

1

shows

equilateral

triangles

of

the

same

size.

DIAGRAM 1 What is the fraction of the shaded area of the whole diagram? Give your answer as a fraction in the lowest term.

2.

10 = 16

3.

2 2 + = 9 3

4.

7 3 − = 8 4

5. Diagram 2 shows a number line. 1 8

P

3 8

1 2

5 8

3 4

Q

1

DIAGRAM 2 Complete the number line by finding the values of P and Q.

6. State two fractions that are similar in value to

1 . 3

10

7. Diagram 3 shows rectangles of the same size.

DIAGRAM 3 How many rectangles have to be shaded so that the shaded area is

8. State

14 in the lowest term. 56

9. Which of the following fractions has the smallest value? 1 1 1 1 , , , 10 8 9 7

10. Complete the following equation by finding the value of Q. 1 7 = 4 Q

11.

1 2 + = 9 9

12.

1 4 + = 8 8

13. What is the sum of

14. Find the sum of

2 1 and ? 5 2

2 1 and . 3 6

11

3 of the diagram? 4

15.

3 2 + = 5 10

16.

2 1 + = 6 3

17. Mrs Tang went to the market. She used

4 1 of her money to buy fish and to buy meat. 9 3

Calculate the total fraction of money spent.

1 3 kg of sugar to make biscuits and kg of sugar to bake a cake. How much sugar 4 8 did she use altogether?

18. Mother used

19. During the cleaning up of an abandoned playground, Anna weeded neighbour weeded

2 9

1 of the playground. Her 3

of the same playground. Calculate the area that has been cleared by both

of them.

1 1 of the cake to her neighbour and another to her son. 5 2 Calculate how much cake was given to her neighbour and son.

20. Aunt Linda bought a cake. She gave

21.

4 3 − = 9 9

22.

7 1 − = 8 4

23. What is the difference if

2 7 is subtracted from ? 3 9

12

24.

5 2 −= 9 9 Complete the mathematical equation above.

25. Diagram 4 shows a number line.

1 9

1 3

4 9

2 3

A

B

1

DIAGRAM 4 Find the value of B – A.

26. Diagram 5 shows a number line.

1 6

1 2

K

1

DIAGRAM 5 1 Find the value of K – . 2

27.

5 2 − = 7 7

28. Zamzuri bought a chocolate cake. His brother ate

2 1 of the cake while his sister ate of the 5 10

same cake. Who ate more cake? , 7 1 hour to study and hour to play. Find the difference in time spent by 8 2 Azila for these two activities.

29. Every day, Azila uses

30.

4 of the sugar stocked in a warehouse has been sold. What is the remaining stock in the 5 warehouse?

13