Homework and some stuff: 2011

1
Questions 1 to 10 carry 1 mark each. Questions 11 to 15 carry 2 marks each.
For each question, four options are given. One of them is the correct answer.
Make your choice (1, 2, 3 or 4). Shade the correct oval (1, 2, 3 or 4) on the Optical
Answer Sheet. (20 marks)
1. Round off 149 062 to the nearest hundred.
(1) 140 000
(2) 149 000
(3) 149 100
(4) 150 000
2. In 132.098, which digit is in the hundredths place?
(1) 1
(2) 2
(3) 8
(4) 9
3. What is the missing number in the box below?
6 x
4
3
= 4 x
4
3
+ x
8
3
(1) 1
(2) 2
(3) 3
(4) 4
4.
What is the value of
6
5
÷ 4?
(1)
2
3
(2)
3
10
(3)
6
29
(4)
24
5
2
5.
Which one of the following masses is the smallest?
(1)
5
3
kg
(2) 0.5 kg
(3) 450 g
(4) 1 kg 20 g
6.
The parallelogram below is not drawn to scale. Find Ðx.
(1) 74o
(2) 106o
(3) 164o
(4) 254o
7. How many unit cubes are used to build the solid in the diagram below?
(1) 11
(2) 12
(3) 13
(4) 14
106o
x
3
8. ABCD is a square. What is the area of the shaded parts?
(1) 25 m2
(2) 40 m2
(3) 50 m2
(4) 100 m2
9.
The solid below is a cube. The area of the shaded face is 9 cm2.
What is the volume of the cube?
(1) 9 cm3
(2) 27 cm3
(3) 54 cm3
(4) 81 cm3
10. Find the value of 40 + (32 – 12) ÷ 5 x 3.
(1) 52
(2)
(3)
(4)
36
12
4
A
D
B
C
10 m
4
11.
Ivan has 63 marbles and Joshua has 12 marbles. How many marbles must
Ivan give Joshua so that Ivan will have twice as many marbles as Joshua?
(1)
13
(2) 25
(3) 50
(4) 51
12. The table below shows the amount of money John spent on four days.
Amount
Day 1 $52
Day 2 $0
Day 3 $25
Day 4 $19
On average, how much did John spend each day?
(1)
(2)
(3)
(4)
$24
$25
$32
$96
13.
4% of the pupils in a class were absent during a topical test. Of those who
were present,
8
7
passed the test. What percentage of the pupils in the
class failed the test?
(1)
(2)
12%
12.5%
(3)
(4)
84%
87.5%
5
14. The total perimeter of Square P and Square Q is 60 cm. The length of
Square P is 3 cm shorter than that of Square Q. What is the total area of
the two squares?
(1)
(2)
(3)
(4)
36 cm2
81 cm2
117 cm2
144 cm2
15. In the figure below, not drawn to scale, one corner of a rectangular piece
of paper is folded. Find Ðy.
(1)
(2)
(3)
(4)
35o
55o
70o
85o
35o
y
6
Questions 16 to 25 carry 1 mark each. Write your answers in the spaces provided.
For questions which require units, give your answers in the units stated. (10 marks)
16. Express 5.2 as a percentage.
Ans: ____________ %
17. What is 15 thousands, 5 hundreds, 3 tens and 6 ones written in numerals?
Ans: _______________
18. Find the difference between
3
2
and
5
4
.
Ans: ______________
19. Express
9
42
as a mixed number. Give your answer in its simplest form.
Ans: ______________
7
20. Express 56 thousandths as a decimal.
Ans: _______________
21. A pole is 2.8 m long. Write its length in metres and centimetres.
Ans: ____ m ______ cm
22. There are some pupils in the hall. The ratio of the number of pupils who wear
glasses to the total number of pupils in the hall is 6 : 25. If there are 72 pupils
who wear glasses, how many pupils are there in the hall?
Ans: _______________
8
23. A number when rounded off to the nearest hundred is 6300. What is the
greatest possible number it can be?
Ans: _______________
24. Tom wanted to buy 12 markers but he needed $1.50 more. If he had bought
9 markers, he would have $4.80 left. How much did each marker cost?
Ans: $ _____________
25. The figure below is not drawn to scale. ABCD is a rectangle and BEF is an
isosceles triangle such that BF = EF and BF is perpendicular to EF.
Given ÐECF = 50o, find ÐBEC.
Ans: _____________ o
A B
E F
D C
50o
9
Questions 26 to 30 carry 2 marks each. Show your working clearly in the space below
each question and write your answers in the spaces provided. For questions which
require units, give your answers in the units stated. (10 marks)
26. Mrs Lim had 11 m of cloth. She used
2
1
m of cloth to make a cushion cover.
What fraction of the cloth was left after she had made 8 identical cushion
covers?
Ans: ________________
27. The diagram below is not drawn to scale. CDE is an equilateral triangle.
ACE and BCD are straight lines. GivenÐCBA is 55o, find ÐCAB.
Ans: _______________o
E
A
D
C
B
55o
10
28. The average mass of a group of four girls is 48 kg. When one of the girls left, the
average mass of the remaining girls became 50 kg. Find the mass of the girl
who left.
Ans: ____________ kg
29. Andy and Bryan have an equal amount of money. If Andy gives Bryan $50,
Andy will have
3
2
of the amount of money Bryan has. How much money does
each boy have at first?
Ans: $ _____________
11
30. A rectangular box measures 18 cm by 8 cm by 6 cm. What is the maximum
number of 3-cm cubes which can be placed in the box?
Ans: _______________
End of Paper
Please check your work carefully.
1
Questions 1 to 5 carry 2 marks each. Show your working clearly in the space below each
question and write your answers in the spaces provided.
For questions which require units, give your answers in the units stated. (10 marks)
1. What is the least number of unit cubes that must be added to the solid below to form
a cuboid?
Ans: _______________
2. Mr Chan is 4 times as old as his grandson. 5 years ago, he was 5 times as old as
his grandson. How old is Mr Chan now?
Ans: _______ years old
2
3. The figure below, not drawn to scale, shows a right-angled isosceles triangle ABC.
Find the area of the triangle.
Ans: ____________ cm2
4. In the figure below, WXYZ is a square, PZY is an equilateral triangle and ZQX is a
straight line. Find ÐPQX.
Ans: _____________ o
W X
Z Y
P
Q
10 cm
B
A C
3
5. In the space below, construct an equilateral triangle ABC. The line AB has been
drawn for you.
A B
4
For Questions 6 to 18, show your working clearly in the space provided for each question
and write your answers in the spaces provided.
The number of marks available is shown in brackets [ ] at the end of each question or
part-question. (50 marks)
6. A tin of paint weighs 4.2 kg when it is
5
1
full and 11.34 kg when it is
3
2
full.
What is the mass of the empty tin?
Ans: _______________ [3]
7. A farmer has
5
1
more ducks than cows. The ducks and cows have 288 legs
altogether. How many ducks does the farmer have?
Ans: _______________ [3]
5
8. A shopkeeper had 12.76 kg of salt. He spilled some salt and packed the remaining
salt into 5 big packets and 15 small packets. Each big packet was 200 g heavier
than a small packet. If he had not spilt the salt, he could pack one more small
packet. How much did each big packet of salt weigh?
Ans: _______________ [3]
9. Sally had some buttons. 55% of the buttons were red,
3
1
of the remaining buttons
were yellow and the rest were blue. If she had 300 yellow buttons, how many red
buttons did she have?
Ans: ______________ [3]
6
10. Some identical flags were tied to a piece of string 2 m long. The first and last flags
were tied 12 cm away from each end of the string. The rest of the flags were tied
8 cm apart. How many flags were tied on the string altogether?
Ans: _______________ [3]
12 cm 8 cm 8 cm 12 cm
7
11. Janice took 4 tests. She scored 89 marks for English and 95 marks for Chinese.
Her Mathematics score was 6 marks higher than her Science score. If her average
score for all the 4 tests was 85, what was the score for her Mathematics test?
Ans: _____________ [4]
8
12. A container with a square base of side 12 cm was half-filled with water. When 3
of water were poured into the container, all the water that had overflown filled up
three 400-m bottles. What was the height of the container?
Ans: _____________ [4]
?
9
13. Mrs Tan baked some curry puffs and muffins. The number of curry puffs she baked
was twice the number of muffins. After her family members ate 24 curry puffs and
3 muffins, she had
5
2
of her curry puffs and muffins left. How many curry puffs did
she bake?
Ans: __________________ [4]
10
14. Anna answered 25 questions in a test. For every correct answer, she received
3 marks. For every incorrect answer, 2 marks were deducted. If her final score was
60 marks, how many questions did Anna answer correctly?
Ans: __________________ [4]
11
15. In the space below, the line PQ has been drawn for you.
(a) Using PQ as one side of a parallelogram, complete the parallelogram
PQRS such that ÐPQR = 72o and QR = 8 cm. [3]
(b) Join PR and measure ÐPRS.
Ans: (b)_______________ [1]
P
Q
12
16. There are 42 pupils in a class. 25% of the boys can swim and 40% of the girls can
swim. Altogether, 12 pupils in the class can swim. How many boys can swim?
Ans: __________________ [5]
13
17. Mr Lim bought some pens. 20% of the pens were red and the rest were blue.
Each pen cost $1.20. The blue pens were sold at a discount of 15%. If he paid
$264 for the pens, how much did he spend on the blue pens?
Ans: __________________ [5]
14
18. The figure below shows a square ABCD and triangle BDX. BD is a straight line and
the area of triangle ABD is 72 cm2. Given that XY is
3
1
of AD and the area of
triangles DXC and BXC are equal, find the area of triangle BDX.
Ans: __________________ [5]
End of Paper
Please check your work carefully
A B
D C
X
Y
1