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P5 End of Year Mock Exam 2 Paper 1 -Solutions

___________________________________________________________________________

1. 14 28

433 6

2 ( 4 )

2. 48 hundredths = 0.48

50 tenths = 5

5 – 0.48 = 4.52 ( 1 )

3. 455078 = 400000 + 50000 + 5000 + 78 ( 4 )

4. 38 19

100 50 ( 2 )

5. 0.741 × 100% = 74.1% ( 4 )

6. 9.875 + 21.832 – 5.73 = 25.977 ≈ 25. 98 ( 1 )

7. Find the area of the unshaded part.

Area of unshaded part

2

16 17 22 8 6 17

2

170

cm cm cm cm cm cm

cm

( 2 )

22 cm

6 cm

17 cm

8 cm

A

B

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8.

180 55 180 67 238

( 4 )

9. 3 52 2 78 dresses ( 3 )

10. Base of triangle

2 190 12

2cm cm

15cm ( 2 )

11. 5.44 – 11.472 + 8.87 = 2.838 ≈ 2.84 ( 3 )

12. 100% – 30% = 70%

70% × 2l = 2

15

l ( 2 )

13. Total height

= 1.53 m × 3

= 4.59 m

1 m 49 cm + 20 cm = 1 m 69 cm (Nancy)

4.59 m – 1 m 49 cm – 1 m 29 cm = 141 cm ( 1 )

q

p

r

s

55°

67°

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14. 1 4

15 5

490 72

5 sweets

72 sweets ÷ 4 = 18 sweets ( 1 )

15. Cost of the pullover

= $ 189 – $ 98

= $ 91

70% → $91

30% → $39 ( 1 )

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___________________________________________________________________________

16. Write one million, six hundred thousand and twelve in numerals.

Answer: 1 600 012

17. Write 13 tenths 25 hundredths and 74 thousandths as a decimal.

13 tenths = 1.3

25 hundredths = 0.25

74 thousandths = 0.074

1.3 + 0.25 + 0.074 = 1.624

Answer: 1.624

18. What is 35% of $5000?

35% $5000 $1750 Answer: $ 1750

19. Express 8 hours as a ratio of 3 days in its simplest form.

8 hours : 3 days

= 8 hours : 72 hours

= 1 : 9 Answer: 1 : 9

20. Malcom bought 1

2 kg of peanuts. He ate

1

4 of it. How many grams of peanuts did he

have left after that?

1 31

4 4

1 3 3

2 4 8kg kg

3375

8kg g Answer: 375 g

21. 3 girls are aged 10 years 9 months, 12 years 3 months and 13 years 6 months. What is

their average age?

10 yr 9 mth + 12 yr 3 mth + 13 yr 6 mth = 36yr 6 mth

36 yr 6 mth ÷ 3 = 12 yr 2 mth Answer: 12 yr 2 mth

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22. What is the average of all the odd numbers between 322 and 336?

Odd numbers : 323, 325, 327, 329, 331, 333, 335

Avg

323 325 327 329 331 333 335329

7

Answer: 329

23. Shop A sells a shirt for $32. It gives a 4% discount if customers buy 3 or more shirts.

How much Jimmy need to pay if he buys 5 such shirts?

100% – 4% = 96%

96% $32 $30.72 (1 shirt)

$30.72 5 $153.60 (5 shirts) Answer: $ 153.60

24. Arrange these numbers in decreasing order:

0.14, 0.085, 2

25,

1

7

2

0.0825

1

0.14285714297

Decreasing order (Biggest to Smallest) = 1

7, 0.14, 0.085,

2

25

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25. Study the table below. In which column will the number 55 appear?

v w x y z

1 2 3 4 5

8 7 6

9 10 11 12 13

.

.

.

.

16

.

.

.

15

.

.

.

14

.

.

.

.

.

.

.

55 ÷ 8 = 6 R 7

Remainding 7 under column x

Answer: column x

26. The length of a 12-cm square is increased by 20%. Its breadth is decreased by 10%. Find

the area of the new figure?

100% + 20% = 120%

120% 12 14.4cm cm

100% – 10% = 90%

90% 12 10.8cm cm

Area of figure

= 14.4 cm × 10.8 cm

= 155.52 cm2 Answer: 155.52 cm2

27. In a class of 40, 60% of pupils like chocolate. If 25% of the pupils who like chocolate

are girls, how many boys like chocolate?

60% 40 24 pupils like chocolate

100% – 25% = 75%

75% 24 18 boys like chocolate Answer: 18 boys

1st group

2nd group

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Study the graph and answer Questions 28 to 30. The bar graph shows the marks scored by five

pupils in an English test.

28. Jonathan scored _________ marks

Answer: 84

29. The average score of the five pupils is ___________ .

Avg

96 60 84 80 20

5

68marks

Answer: 68 marks

30. What percentage of pupils scored below 85 marks?

4100%

5

80%

Answer: 80 %

0

20

40

60

80

100

120

Randy Benedict Jonathan Adrian Max

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P5 End of Year Mock Exam 2 Paper 2 - Solutions

1. Number of units Amy borrowed

=1

142 units

=1

22

units

New ratio of Amy’s money to Asher’s money

=1

2 22

:

15 2

2

=1

42

: 1

22

= 9 : 5

2. Percentage represented the members after the increase

= 100% + 20%

= 120%

120% 180 members

20% 30 members

100% 150 members

3.

Since NJWG is a rhombus, GW = WJ,

180 70

2WGJ

55

55GWY WGJ (alt. ∠ , GJ//YK)

180 95 55GYW

30 (Sum of ∠s in ∆GYW)

Answer: ______30_____ °

70°

95°

G

N

J

W K Y

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4. Difference in units

= 3 units – 1 unit

= 2 units

Difference in age

= 50 years old – 8 years old

= 42 years old

2 units = 42 years old

1 unit = 21 years old

3 units = 63 years old

5. Length of square

264cm

8 8cm

8cm

Length of BC

8 5cm

1.6cm

Area of shaded area

1

1.6 82

cm cm

26.4cm

6. 4 8000units people (children)

1 2000unit people (adults)

Total number of people

8000 2000

10000

Number of women

2000 900

1100

Percentage of people were women

1100100%

10000

11%

J K

L M A B C D

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7. Mathew + 6kg

120 kg

Nathan - 6kg

2 120units kg

1 60unit kg

Nathan’s mass = 60 kg – 6 kg = 54 kg

8.

1 $20unit

Amt. of money withdrawn

4 $80units

9.

180 110

2ABC

35

180 20 55 20 55BAC

70 (Sum of ∠s in ∆ABC)

10. Total time taken for previous 4 competition

4 42s

168s

Total time taken for the 5 competition

5 44.2s

221s

Time taken for 5th competition

221 168s s

53s

A

B C

P

20° 110°

1st day 2nd day $20

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11. Amt. of money for 4kg of sugar and 5kg of flour

$9.20

Amt. of money for 2kg of sugar and 3kg of flour

$9.20 $4

$5.20

Amt. of money for 4kg of sugar and 6kg of flour

$5.20 2

$10.40

Amt. of money for 1kg of flour

$10.40 $9.20

$1.20

Amt. of money for 2kg of sugar

$5.20 3 $1.20

$1.60

Amt. of money for 1kg of sugar

$1.60 2

$0.80

12. Number of local stamps

28% 200 stamps

56 stamps

35% 56stamps

100% 160 stamps

Number of foreign stamps taken out

200 160 foreign stamps

40 foreign stamps

13. Bag A

Bag B −56 kg 74.68 kg

Bag C

11 units 74.68 56kg kg

1 unit 11.88kg

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11880g

14. Number of organic apples

12 48 organic apples

576 organic apples

Number of organic apples not rotten

576 120 organic apples

456 organic apples

Number of apples not organic

25 12 48

624 apples

Total amount collected

456 80 624¢ ¢

$676.80

50

15. Number of $2 gift vouchers

$112 $2

56 $2 gift vouchers

4 56units vouchers

1 14unit vouchers

Amt. spent on $5 dollar vouchers

14 $5

$70

16. Volume of water in tank 3

(25 25 16) cm³4

37500 cm

Rate of Tap G 3125 25 16 cm 5min

4

500 cm³ / min

Time taken to empty tank 7500 cm³ 800 500 cm³ / min

25 min

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17. Number of $10 notes

80% 200 notes

160 notes

Number of $50 notes

200 160 notes

40 notes

% for $50 notes after spending on shoes

100% 75%

25%

25% 40 notes

75% 120 notes

Number of $10 notes used

160 120

40

Amt. spend on the shoes

40 $10

$400