SECTION A(1) (35 marks)
1.
Write your answers in the spaces provided.
(a) Consider the polynomial x5 + 11x3  6x  9.
(4 marks)
Coefficient of x5:
_______________
Coefficient of x3: _______________
Constant term:
_______________ The degree of the polynomial: _______________
(b) Arrange the following numbers in ascending order.
+8,  8
(2 marks)
6
5
, –8,  8
11
11
(c) According to the pattern of the first four terms in the given sequence, write down the 5th
and 6th terms.
(2 marks)
–9, –6, –3, 0, …
5th :______________________
6th :______________________
(d) Identify the like terms for the following.
1
6x2y2, 5xy, – y 2 x 2 , –2x2y
2
(2 marks)
_________________________
(e) (i) Round off 2021.0578 to the nearest thousand.
_________________________
(ii) Round down 0.336789 to 3 significant figures.
_________________________
(iii) Round up 3789.2 to the nearest integer.
___________________________
(3 marks)
(f) Referring to the diagram, find the value of a.
(2 marks)
7
4
a
–3
_________________________
(g) Use the digits 0, 3 and 6 to form all possible 3-digit numbers that are divisible by both 6
and 9.
(3 marks)
_________________________
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1
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_________________________
Solve the following equations.
4(a + 2) = 7 + 3(2a + 5)
(3 marks)
(b)
3a  2 5a  3

3
5
(3 marks)
(c)
h 2h  1 8h
=

2
6
9
(4 marks)
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(a)
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2.
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2
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Simplify each of the following expressions.
(a)
6x – 9 – 8x + 6
(2 marks)
(b)
(–14a)(–5b)(–2c)
(2 marks)
(c)
9 x  (18 x)
(3)(3)
(3 marks)
SECTION A(2) (35 marks)
4.
It is given that G =
(a)
(b)
2ab
.
c2  2
Find the value of G when a = 3, b = 4 and c = 5.
Find the value of G when a = –1, b = 4 and c = –4.
(2 marks)
(2 marks)
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3.
6.
Expand each of the following expressions.
(a)
x(3x – 2xy + y)
(2 marks)
(b)
(p4 – p2 + 1)(–3p3)
(2 marks)
(c)
(7a – 5)(8a – 3)
(2 marks)
(d)
(11x – 3)2
(2 marks)
Simplify
(6 x 5 y 6 ) 3
.
(2 x 6 y 3 ) 4
(4 marks)
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4
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5.
Find the H.C.F. and the L.C.M. of 135, 252 and 504 in index notation.
(4 marks)
8.
Given ax = 5 and ay = 3, where x and y are positive integers. Find a2x + 3y.
(3 marks)
9.
In a fruit store, the prices of a watermelon, a box of strawberry and a pineapple are $26.8, $34.3
and $42.5 respectively. Peter wants to buy one each.
(a)
Estimate the total price Peter needs to pay by the following method:
(i) rounding up the price of each item to the nearest dollar,
(ii) rounding down the price of each item to the nearest dollar.
(4 marks)
(b)
Purchasing more than $100, customer can join a lucky draw. Can he join the lucky draw?
Use the result of (a) to explain your answer.
(2 marks)
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5
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7.
10.
The figure shows a rectangle with an area of 65 cm2.
(2x + 1) cm
5 cm
Find the value of x.
Find the perimeter of the rectangle.
(3 marks)
(3 marks)
SECTION B (30 marks)
11. Consider two consecutive numbers. The sum of these two numbers is 45. Suppose the smaller
number is x.
(a)
(b)
Find the value of smaller number.
Find the product of these two numbers.
(3 marks)
(2 marks)
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6
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(a)
(b)
12.
In the figure, the 1st pattern consists of 4 sticks. For any positive integer n, the (n + 1)th pattern
is formed by adding 3 sticks to the nth pattern.
…
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(a)
T2
T3
T4
Complete the following table.
Figure
T1
Number of sticks
4
(2 marks)
T2
T3
T4
T5
(b)
Find the number of sticks in the 8th pattern.
(c)
Determine whether there is a figure consisting 100 sticks in the sequence. Explain your
answer. If so, which figure consist 100 sticks in the sequence?
(3 marks)
It is given that 1  2  3  ......  100  5050 .
Find the total number of sticks in T1 to T100.
(2 marks)
(d)
(2 marks)
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T1
The total number of stamps owned by John and Mary is 300. If Mary buys 20 stamps from a
post office, the number of stamps owned by her will be 4 times that owned by John.
Find the numbers of stamps owned by John and Mary.
(5 marks)
(b)
After Mary gives y stamps to John, the number of stamps owned by John is one-third of
that of stamps owned by Mary. Find the value of y.
(3 marks)
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(a)
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13.
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8
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14. The figure shows a trapezium ABCD.
A
h–3
D
h2 – 9
B
C
4h2 – h + 7
(4 marks)
(b)
Using the result in (a), find the area of trapezium ABCD when h = 5.
(2 marks)
(c)
Nelson claims that h must be greater than 3, otherwise the trapezium ABCD cannot be
drawn. Do you agree? Explain your answer.
(2 marks)
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Express the area of trapezium ABCD in terms of h.
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(a)
End of Paper
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9
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 10 
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