P5 End of Year Mock Exam 2 Paper 1 -Solutions
Transcript of P5 End of Year Mock Exam 2 Paper 1 -Solutions
www.jimmymaths.com
1 | P a g e
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
www.jimmymaths.com
2 | P a g e
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°
www.jimmymaths.com
3 | P a g e
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 )
www.jimmymaths.com
4 | P a g e
___________________________________________________________________________
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
www.jimmymaths.com
5 | P a g e
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
www.jimmymaths.com
6 | P a g e
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
www.jimmymaths.com
7 | P a g e
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
www.jimmymaths.com
8 | P a g e
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
www.jimmymaths.com
9 | P a g e
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
www.jimmymaths.com
10 | P a g e
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
www.jimmymaths.com
11 | P a g e
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
www.jimmymaths.com
12 | P a g e
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
www.jimmymaths.com
13 | P a g e
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