60 questions
Factorize 16 - 25m2
(4 - 5m)(4 - 5m)
(4m - 5)(4m + 5)
(4 - 5m)(4 + 5m)
(4 + 5m)(4 + 5m)
What is the gradient of the line 2y + 8x - 6 = 0 ?
8
3
- 6
- 4
Find the gradient of the line segment D(-2, 3) to E(- 1, - 4) .
- 7
- 1
1
7
What is the mid-point of the line segment P(5, - 7) and Q(- 3, - 1) ?
(- 4, 1)
(1, - 4)
(2, - 8)
(- 8, 2)
What is the y-intercept of the line 5x - 4y = 32
y = 0
y = 4
y = - 32
y = - 51
What is the x-intercept of the equation 9 - 3y - x = 0 ?
- 3
- 1
6
9
What is the equation of the line which passes through the origin and has a gradient of 5.
y = 5x
y = x + 5
y = x - 5
y = 5x + 5
What is the gradient of the line that is parallel to the line y = 7x + 8 ?
7
8
- 7
- 8
1.10
0.10
0.14
4.30
Round off 4169.0258 to three significant figures.
417
4170
4169.025
4169.026
Joy is on vacation in the USA. She changes US $450 to
European Union (EU) dollars. She receives EU $500. How much US dollars would she receive for EU $1?
US $0.90
US $1.11
US $50.00
US $950.00
What is the image of B(-2, -3), when it is reflected in the x-axis?
g(-4) = -7
g(-4) = - 2
g(-4) = 17
g(x) = 8
Given h(x) = 2x + 3 and f(x) = x2- 4, find fh(1) .
fh(1) = -3
fh(1) = 5
fh(1) = 9
fh(1) = 21
Given f(x) = 2 - 3x, then ff -1(5) =
-13
-1
0
5
In triangle ABC, angle A = x0 and angle
B = 2xo. What is the size of angle C?
300
600
(180 - 3x)0
The range of f(x) = - x2 for the domain
{-2, -1, 0, 1, 2} is
{1, 4}
{- 4, - 1, 0}
{- 4, - 1, 1, 4}
{- 4. - 1, 0, 1, 4}
Which of the following points lies on
the line y = 2x - 3?
(2, 3)
(4, 1)
(0, - 3)
(- 2, - 1)
The equation of the line which passes
through the point (0, 2) and has a gradient - 7 is
y = -7x
y = -7x + 2
y = -7x - 2
If the mean of the four numbers 4, 8, x
and 12 is 10, then x is
4
10
12
16
The median of the numbers
1, 3, 4, 5, 5, 9, 9, 9, 9, l0 is
6.4
7
8
9
Each of the letters of the word
'CHANCE' is written on a slip of
paper similar in size and shape. The
slips of paper are then placed in a bag
and thoroughly shaken. What is the
probability of randomly drawing a letter
'C'?
21
42
When three coins are tossed simultaneously
the possible outcomes are {HHH,
HHT, HTH, HTT, THH, THT, TTH,
TTT), where H represents a head and T
represents a tail.
What is the probability of randomly
obtaining at LEAST TWO heads when
the three coins are tossed simultaneously?
A cylinder has a height of 20 cm and a diameter of 6 cm. The volume, in cm3, of the cylinder is
The perimeter of a square is 52 cm. What
is the area, in cm2?
39
78
169
196
The area of a triangle is 60 cm2 and its
base is 12 cm. What is the perpendicular
height, in cm, of the triangle?
5
10
13
17
Fifty guests each had 2 glasses of
champagne. Each glass held
150 millilitres. How many litres of
champagne were used?
0.15
1.5
15
150
I
ln a sector, the length of the minor arc,
PQ, is 8 cm and the minor sector angle is 600. What is the circumference of the circle, in cm?
16 cm
24 cm
48 cm
64 cm
James saves $x each month, but in March
he saved $5 less than twice his usual
amount. In March, James saved
$5x
$10x
$(x - 5)
$(2x - 5)
Two tonnes, 54 kilograms is the same as
56 kg
254 kg
2,054 kg
20,054 kg
2
4
Simplify 26
The expression -2(x - 4) is the same as
-2x + 4
-2x - 4
-2x + 8
-2x - 8
(8a)2 is the same as
16a
16a2
64a
64a2
If 9(x - l) - 2(x - l) = 7, then the value of
(x - l) is
0
1
2
3
House insurance cost cost 25 cents per $100 and Content insurance cost 50 cents per $100. How much will a person pay for insurance, if his house is valued at
$50 000, and the contents at $10 000 ?
$175
$225
$450
$500
If x is an integer that satisfies the inequality - 8 < 2x < 10, then
A company employs 12 gardeners at
$26 per day, and 8 clerks at $l7 per day.
What is the mean daily wage, in dollars,
of the 20 employees?
$20.00
$21.50
$22.40
$31.50
Tom bought a pen for $60 and sold it to
gain 20% on the cost price. How much
money did he gain?
$12.00
$40.00
$72.00
$80.00
A television set costs $350 cash. When
bought on hire purchase, a deposit of
$35 is required, followed by l2 monthly
payments of $30. How much is saved
by paying cash?
$10.00
$25.00
$40.00
$45.00
An article bought for $125 was sold for
$175. The profit as a percentage of the
cost price was
28.6%
40%
50%
71.4%
If the simple interest on $800 for 3 years
is $54, what is the rate of interest per
annum?
2.25%
5%
44%
At the end of any year a car is worth
5% less than what it was worth at the
beginning of the year. If a car was worth
$9,500 in December 20l6, then its value
in January 20l6 was
$9,995
$10,000
$10,025
$12,000
Of a class of 32 students, l7 study Music
and 20 study Art. What is the LEAST
possible number of students who study
BOTH Music and Art?
3
5
12
15
The cost of a calculator exclusive of sales tax is $120. Susan bought a calculator and paid sales tax of l0%.
How much change would she receive from $ 140?
$8
$12
$28
$32
5
6
10
12
54
72
120
150
If $560 is shared in the ratio 2:3:9, the
difference between the largest and the
smallest shares is
$80
$240
$280
$360
99 x 101 has the same value as
(99 x 100) + 1
(99 x 100) - (99 x 1)
(99 x 100) + (99 x 1)
(99 x 100)(99 x 1)