Topic 11 - Data Handling

1

Year 5 Learning Area : AVERAGE 1. Average is total quantity divided by

2. Calculate the average

2. Find the average of 43 and 25.

3. Calculate the average of 20, 51 and 82

3. The total weight of 3 boys is 27 kg. Find their average weight.

4. Calculate the average of 12 km, 107 km and 82 km.

5. Calculate the average 21.5 kg, 44.8 kg and 7.56 kg.

6. Calculate the average of RM5.85, RM19.40 and RM34.45.

7. Salina saved an average of RM1.20 per day. How much money did she save in 2 weeks ?

8. The average marks of 5 pupils is 78. A new boy with 84 marks joins in the group. What is the average ?

9. The table below shows the number of magazines sold by Mr. Tan in two days.

10. The table below shows the amount of money spent by Rina in three days.

Day Number of Magazines Saturday 49 Sunday 53 What is the average number of magazines sold in one day ?

Day Wednesday Thursday Friday Amount RM1.30 RM1.10 RM1.20 Find the average amount of money spent by Rina in one day.

11. The table below shows the number of pupils in two classrooms. Classroom A B C Number of Pupils 35 36 31 Find the average number of pupils in the classroom.

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Year 5 Learning Area :

ORGANISING AND INTERPRETING DATA

The pictograph shows the number of arranges sold at Pak Samad’s shop in 5 day. Answer questions 1-6.

Monday Tuesday Wednesday Thursday Friday Represents 10 oranges

1. The total oranges sold in 5 days was

2.

3.

4. What is the percentage of oranges sold on Thursday ?

The most number of oranges sold was on

5. The difference in the number of oranges sold on Tuesday and Monday was

oranges were sold on Thursday.

6. What is the average number of oranges sold in five day ?

3

The pictograph shows the number of books borrowed by Adam in one month. Answer questions 7-12.

Week 1 Week 2 Week 3 Week 4

Represents 10 oranges

7. How many books were borrowed by Adam ?

8. In Which week Adam borrowed the least books ?

9. The most number of books were borrowed in which week ?

10. What is the difference between the number of books borrowed in week 2 and week 1 ?

10. What is the average number of books borrowed in the five weeks ?

11. What is the percentage of the total number of books borrowed in week 1 and week 2 ?

4

Num ber Of S tam ps Collected

The bar graph shows the number of stamps collected by five pupils. Answer questions 13-17.

100 80

80 60

68

68

Chee

Danash

58 32

40 20 0 Alif

Ben

Eddy

Names

13. The most number of stamps collected by five pupils ?

15. The common number of stamps collected by five pupils ?

12. The least number of stamps collected by five pupils ?

16.

The number of stamps collected by Chee ?

17. The difference between the most number of stamps collected and the least number of stamps collected ?

5

Data Handling PAPER 1 Year 5 This question paper consists of 40 questions. Answer all questions.

1. Average is equivalent to A

total of quantity

B

number of quantity

C

total of quantity × number of quantity

D

total of quantity ÷ number of quantity

2. Diagram 1 shows two containers filled with water. Container A

Container B

500 ml

300 ml

DIAGRAM 1

How much water has to be poured from Container A into Container B, so that the volume of water in both containers is the same? A

100 ml

C

200 ml

B

150 ml

D

250 ml

3. Diagram 2 shows two sacks of flour with different weight. Sack A Sack B FLOUR 15 kg FLOUR 35 kg

DIAGRAM 2

6

How much flour from Sack B has to be added into Sack A so that the scale is balanced? A

50 kg

C

25 kg

B

35 kg

D

10 kg

4. Diagram 3 shows two containers of marbles. A

B

24 marbles

4 marbles

DIAGRAM 3

How many marbles have to be transferred from container A to container B so that the number of marbles in both containers is the same? A

5

C

15

B

10

D

20

5. Diagram 4 shows two ropes of different length. Rope A

Rope B

6m

1m

DIAGRAM 4

If Pak Rahman wants two ropes of the same length, what is the length of rope A that has to be attached to rope B? A

1m

C

2m

B

1.5 m

D

2.5 m

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6. Diagram 5 shows three containers filled with water. Container A

Container B

400 ml

20 ml

Container C

300 ml

DIAGRAM 5

How much water from Container A and Container C has to be added into Container B so that the volume of water in each container is the same? A

A: 200 ml

C

C: 20 ml B

A: 160 ml C: 60 ml

A: 160 ml

D

C: 40 ml

A: 60 ml C: 160 ml

7. Diagram 6 shows three containers of sweets. Container A

Container B

27 sweets

6 sweets

Container C

21 sweets

DIAGRAM 6

How many sweets from Container A and Container C should be added to Container B so that the number of sweets in each container is the same? A

A: 9 sweets

C

C: 3 sweets B

A: 3 sweets C: 9 sweets

A: 4 sweets C: 8 sweets

D

A: 12 sweets C: 0 sweets

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8. Diagram 7 shows three ribbons of different length. Ribbon A

Ribbon B

8m

Ribbon C

2m

5m

DIAGRAM 7

Calculate the length of ribbon that has to be cut from Ribbon A and Ribbon C, and attached to Ribbon B, so that all three ribbons have the same length. A

A: 5 m

C

C: 3 m B

A: 3 m C: 5 m

A: 3 m

D

C: 0 m

A: 5 m C: 5 m

9. Diagram 8 shows three sacks of rice, P, Q and R. Sack P

Sack Q

Sack R

Rice

Rice

Rice

36 kg

9 kg

36 kg

DIAGRAM 8

How many kg of rice should be taken out from Sack P and Sack R and filled into Sack Q, so that they weigh the same? A

P: 18 kg

C

R: 9 kg

B

P: 9 kg R: 9 kg

P: 27 kg R: 9 kg

D

P: 9 kg R: 18 kg

9

10. Diagram 9 shows 16 stars.

DIAGRAM 9

If the stars are divided equallyinto two groups, how many stars will there be in each group? A

8

C

24

B

16

D

32

11. Diagram 10 shows two groups of marbles.

DIAGRAM 10

How many marbles will there be in each group if they are divided equally into two groups?. A

14 marbles

C

18 marbles

B

16 marbles

D

20 marbles

12. Diagram 12 shows three groups of triangles.

DIAGRAM 12

If the triangles are divided equally into three groups, how many objects will there be in each group? A

16 objects

C

14 objects

B

15 objects

D

13 objects

10

13. What is the average of 24 and 38? A

29

C

31

B

30

D

32

14. The average of 3.9 kg, 600 g and 1 200 g is A

1.7 kg

C

1.9 kg

B

1.8 kg

D

2.0 kg

15. Find the average of the following:

3 1 3 hour, hour and hour. 4 5 4

A

32 minutes

C

28 minutes

B

30 minutes

D

26 minutes

16. Given that the average weight of 3 watermelons is 3.38 kg. If two of the watermelons weigh 3.63 kg and 3.21 kg, find the weight of the third watermelon. A 3.13 kg C 3.31 kg B

3.30 kg

D

3.32 kg

17. Table 1 shows the number of pupils in Year 5A undergoing football training for three days. Day

Tuesday

Thursday

Saturday

Number of pupils

18

15

12

TABLE 1

What is the average number of pupils who attend football training in a day? A

13 pupils

C

15 pupils

B

14 pupils

D

16 pupils

18. Table 2 shows the number of pupils in three Year 5 classes. Class

Number of pupils

5 Biru

33

5 Kuning

27

5 Jingga

36

TABLE 2 Calculate the average number of pupils in each class. A

29 pupils

C

31 pupils

B

30 pupils

D

32 pupils 11

19. The average of three numbers is 29. If two of the numbers are 30 and 28, the third number is A

28

C

30

B

29

D

31

20. The average of 2

1 km and 800 m, in km, is 2

A

1.65

C

3.3

B

2.65

D

4.3

21. The height of Azhar, Dixon and Mohan are 123 cm, 1.5 m and 105 cm respectively. Find their average height, in m. A 1.56

C

1.36

B

D

1.26

1.46

22. Tan, Siti and Shanti are 12 years 3 months, 6 years 9 months and 9 years 6 months of age, respectively. What is their average age? A

9 tahun 6 bulan

C

8 tahun 6 bulan

B

9 tahun 5 bulan

D

8 tahun 5 bulan

23. If Zack drinks 8.4 litres of water in three days, how much water does he drink in a day? A

0.28 l

C

28 l

B

2.8 l

D

280 l

24. The average length of 3 pencils is 12.6 cm. If the length of the first and second pencils are 12.8 cm and 10.4 cm respectively, find the length of the third pencil. A

16.6 cm

C

14.6 cm

B

15.6 cm

D

13.6 cm

25. Given that the average of 71 l, x l, and 69 l is 72 l, find the value of x. A

73

C

75

B

74

D

76

26. The height of Jeremy, Cheong and Faizul are 153 cm, 141 cm and 138 cm respectively. Calculate their average height. A 144 cm

C

142 cm

B

D

141 cm

143 cm

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27. Table 3 shows the weight of three pupils. Pupil

Weight

Aliza

36 kg

Zura

42 kg

Sarah

57 kg

TABLE 3

Find their average weight. A

44 kg

C

46 kg

B

45 kg

D

47 kg

28. Find the average of

3 3 kg, kg, and 450 g in g. 5 4

A

6

C

600

B

60

D

6 000

29. Given that the average weight of Lisa, Susan and Mei Fong is 38 kg. If the average weight of Lisa and Susan is 36 kg, what is the weight of Mei Fong? A 41 kg C 43 kg B

42 kg

D

44 kg

30. The average weight of three ducks is 3.9 kg. Two ducks weigh 3.8 kg and 3.9 kg. What is the weight of the third duck? A 3.85 kg

C

4.0 kg

B

D

4.25 kg

3.9 kg

13

Questions 53 and 54 are based on Diagram 14. Diagram 14 is a bar graph which shows the marks obtained by a pupil in three monthly tests. 80 70 Marks

60 50 40 30 20 10 0 Jan

Feb

Marc

Months

DIAGRAM 14

31. Find the minimum marks obtained by the pupil. A

20

C

50

B

30

D

60

Questions 55, 56 and 57 are based on Diagram 15 below. Diagram 15 is a bar graph which shows the number of pupils in four classes, S, T, U and V. 45 40 35 30 Number 25 of pupils 20 15 10 5 0 S

T U Classes

V

DIAGRAM 15

32. Calculate the difference in the number of pupils in classes S and U. A

10 pupils

C

30 pupils

B

20 pupils

D

40 pupils

14

33. Find the total number of pupils in class W, if it has ten more pupils than the class with the maximum number of pupils shown in Diagram 15. A 20 pupils C 40 pupils B

30 pupils

D

50 pupils

34. What is the common number of pupils in a class? A

10 pupils

C

30 pupils

B

20 pupils

D

40 pupils

Questions 35 and 36 are based on Diagram 17 below.

Diagram 17 is a bar chart which shows the number of eggs sold by Pak Yong in four months.

1000 800 Number of 600 Eggs 400 200 0 July

Aug

Sept

Oct

Months

DIAGRAM 17

35. What is the difference between the number of eggs sold in the first two months? A

100

C

200

B

150

D

250

15

Questions 36, 37 and 38 are based on Diagram 24 below.

Diagram 24 is a pictograph which shows the number of batteries sold by a shop in four months.

May

June

July

August

Represents 100 batteries

DIAGRAM 24

36. What is the total number of batteries sold in the four months? A

2 000

C

3 000

B

2 500

D

3 500

37. What is the percentage of the number of batteries sold in July of the total number of batteries sold in the four months? A 6%

C

60 %

B

D

80 %

30 %

38. If the cost price and selling price of each battery is RM90 and RM120, respectively, find the total profit made in the four months. A RM30 000 C

RM50 000

B

RM60 000

RM40 000

D

16

Questions 39 and 40 are based on Diagram 25 below.

Diagram 25 is a pictograph which shows the number of students who attended extra classes in a particular week.

Monday

Tuesday

Wednesday

Thursday

Friday Represents 20 students

DIAGRAM 25

39. Given that the average number of students who attended extra classes is 80. The number of that needs to be filled in for Friday is A

4

C

6

B

5

D

7

40. The percentage of students who attended extra classes on Wednesday of the total number of students who attended extra classes for the five days is A 10 % C 20 % B

15 %

D

25 %

41. Find the difference between the number of students who attended extra classes on Monday and Wednesday. A 20 students

C

60 students

B

D

80 students

40 students

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PAPER 2 This question paper consists of 20 questions. Answer all questions.

1.

Calculate the average of 24, 19 and 50.

2.

Diagram 1 shows two coin boxes. Coin box A

Coin box B

RM36.80

RM24.00

DIAGRAM 1

How much money has to be transferred from coin box A to coin box B, so that both coin boxes have the same amount of money?

3. The average of

1 4 hour and hour, in minutes, is 5 2

18

4. What is the average of

3 1 km, 700 m, and km, in m? 5 2

5. James, Ai Kim and Gunawan are 2 decades and 1 year, 1 decade and 8 years and 1 decade and 5 years. What is their average age, in years?

6. The average length of three poles is 12.6 cm. If the length of the first and second poles are 11.5 cm and 12.8 cm, respectively. What is the length of the third pole, in cm?

7. Table 1 shows the weight of three Year 5 pupils. Name

Weight (kg)

Liza

47.5

Kiew

45

Muthu

39.2

TABLE 1

What is their average weight, in kg?

19

8. Table 2 shows the length of four different roads. Road

Aman

Sentosa

Indah

Sejahtera

Length (km)

35

43

28

14

TABLE 2

Calculate the average length, in m, of the roads.

9. Table 3 shows the daily income of three mini bus drivers, A, B and C. Mini bus

Total income

A

RM439.60

B

RM396.30

C

RM726.20

TABLE 3

Calculate the average daily income of a mini bus driver.

10. Given that the average of five numbers is 12, and the first, second and third numbers are the same, where as the fourth and fifth numbers are 5 and 7, respectively, what is the value of the unknown number?

20

11. Table 4 shows the daily revenue of three businessmen, R, S and T. Businessman Revenue R

RM942.20

S

RM ?

T

RM1 100

TABLE 4

If the average daily revenue is RM941.60, what is the total revenue of businessman S.

12. The total age of Diana, Hong and Nani is 29 years. If the average age of Dina and Hong is 9 years, how old is Nani?

Questions 13,14,and 15 are based on Diagram 5 below.

Diagram 2 is a pictograph which shows the number of exercise books sold by a book shop in four months.

Jan Feb Mac Apr Represents 40 books DIAGRAM 2

21

13. Find the total number of exercise books sold in March.

14. Find the difference between the number of exercise books sold in January and March.

15. If a profit of RM0.15 is made from the sale of each book, find the total profit for the month of January and February.

Questions 16, 17 and 18 are based on Diagram 6 below.

Diagram 3 is a pictograph which shows the number of passengers in three bus.

P Q R Represents 15 passengers DIAGRAM 3

22

16. Calculate the percentage of passengers in bus Q as compared to the total number of passengers in all three buses.

17. If the average bus fare is RM1.20 per passenger, what is the total collection of bus P.

18. If

1 of the passengers in bus R are women, how many passengers in bus R are men? 3

Questions 19 and 20 are based on Diagram 10 below.

Diagram 4 is a pictograph which shows the number of oranges produced by four orchards.

Orchard A Orchard B Orchard C Orchard D Represents ? oranges DIAGRAM 4

23

19. If the total number of oranges produced by all four orchards is 3 000, how many oranges does each

20. If

represent?

1 of the total oranges produced by all four orchards is spoilt, how many oranges are 5

unspoilt?

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