Question 1

Write the following number in standard form: $0.000329$

Accepted Answer

$3.29$ x $10^{-4}$

Answer

$32.9$ x $10^3$

Answer

$32.9$ x $10^{-3}$

Answer

$3.29$ x $10^4$

Question 2

Write the number $362501$ using 3 significant figures

Accepted Answer

$363000$

Answer

$363$

Answer

$362500$

Answer

$362000$

Question 3

The first 3 terms of a sequence are: $4, 7, 10$, … What is the $8^{th}$ term of this sequence?

Accepted Answer

$25$

Answer

$24$

Answer

$26$

Answer

$22$

Question 4

The first 3 terms of a sequence are: $4, 7, 10$, … The $n^{th}$ term rule for this sequence can be written as $U_n$ = $an + b$. Find $a$ and $b$

Accepted Answer

$a=3$ and $b=1$

Answer

$a=1$ and $b=3$

Answer

$a=2$ and $b=2$

Answer

$a=4$ and $b=-1$

Question 5

Work out 45% of $800$

Accepted Answer

$360$

Answer

$380$

Answer

$390$

Answer

$370$

Question 6

Given $2(3x+4)-3(4x-5)$ = $ax +b$ . Find $a$ and $b$

Accepted Answer

$a=-6$ and $b=23$

Answer

$a=6$ and $b=23$

Answer

$a=6$ and $b=-7$

Answer

$a=-6$ and $b=-7$

Question 7

Factorize $x^2 - 3x -10$

Accepted Answer

$(x-5)(x+2)$

Answer

$(x+5)(x+2)$

Answer

$(x+5)(x-2)$

Answer

$(x-5)(x-2)$

Question 8

Solve the following equation $\frac{10-3x}{2x}=1$

Accepted Answer

$x=2$

Answer

$x=\frac{9}{5}$

Answer

$x=-10$

Answer

$x=-2$

Question 9

Find the solutions to the following equation: $x=\frac{100}{x}$

Accepted Answer

$x=10$ and $x=-10$

Answer

$x=2$ and $x=-2$

Answer

$x=50$ and $x=-50$

Answer

$x=100$ and $x=-100$

Question 10

The equation of the line shown below can be written as $y=mx+c$. Find $m$ and $c$

Accepted Answer

$m=-2$ and $c=1$

Answer

$m=1$ and $c=\frac{1}{2}$

Answer

$m=1$ and $c=2$

Answer

$m=\frac{1}{2}$ and $c=1$

Question 11

Use the triangle to find the value of $cos 45°$. Write your answer as a fraction.

Accepted Answer

$\frac{1}{\sqrt{2}}$

Answer

$\frac{\sqrt{2}}{1}$

Answer

$1$

Answer

$\frac{1}{2}$

Question 12

Work out the length, in centimetres, of $AM$.

Accepted Answer

$AM=3$

Answer

$AM=4$

Answer

$AM=\sqrt{41}$

Answer

$AM=\sqrt{5}$

Question 13

Convert $\frac{\Pi}{3}$
radians into degrees

Accepted Answer

$60°$

Answer

$120°$

Answer

$75°$

Answer

$80°$

Question 14

Find the area of the shaded region shown in the diagram.

Accepted Answer

$45 cm^2$

Answer

$40 cm^2$

Answer

$15 cm^2$

Answer

$105 cm^2$

Question 15

Joshua rolls an ordinary dice once.
It has faces marked $1, 2, 3, 4, 5$ and $6$. Write down the probability that he gets a $6$

Accepted Answer

$\frac{1}{6}$

Answer

$\frac{6}{6}$

Answer

$\frac{1}{5}$

Answer

$\frac{6}{3}$

Question 16

Joshua rolls an ordinary dice once.
It has faces marked $1, 2, 3, 4, 5$ and $6$. Write down the probability that he gets an odd number.

Accepted Answer

$\frac{1}{2}$

Answer

$\frac{1}{3}$

Answer

$\frac{1}{4}$

Answer

$\frac{4}{6}$

Question 17

The histogram shows the weights of a number of frozen chickens in a
supermarket. Find the total number of chickens.

Accepted Answer

$96$

Answer

$98$

Answer

$50$

Answer

$4$

Question 18

A group of 30 students were asked about their favourite topping for a toast.
18 students liked peanut butter (A)
10 students liked jam (B)
6 students liked neither (They dislike both Jam and peanut
butter). The Venn diagram for this event is shown. Find the number of students who liked peanut butter but not jam.

Accepted Answer

$14$

Answer

$18$

Answer

$10$

Answer

$16$

Question 19

Find the value of $x$ in the following equation $x+4=\frac{x}{2}+10$

Accepted Answer

$12$

Answer

$14$

Answer

$\frac{30}{3}$

Answer

$\frac{20}{3}$

Question 20

The quadratic function $f(x)=ax^2+bx+c$ has the following characteristics:  passes through the point $(2, 4)$, has a maximum value of 6  when $x=4$ and has a zero  of $x=4+2\sqrt{3}$

Accepted Answer

$a=\frac{-1}{2}$ , $b=4$ and $c=-2$

Answer

$a=\frac{1}{2}$ , $b=4$ and $c=-2$

Answer

$a=\frac{-1}{2}$ , $b=4$ and $c=2$

Answer

$a=\frac{1}{2}$ , $b=4$ and $c=2$

Question 21

The polynomial $x^3 + ax^2-3x+b$ is divisible by $(x-2)$ and has a remainder of $6$ when divided by  $(x+1)$. Find the value of $a$ and $b$.

Accepted Answer

$a=-2$ and $b=6$

Answer

$a=2$ and $b=6$

Answer

$a=2$ and $b=-6$

Answer

$a=-2$ and $b=-6$

Question 22

The diagram shows a right-angled triangle  with legs of length 1 unit and 2 units. The angle at vertex $P$ has a degree measure of $p°$. Find the exact value of $sin (2p)$

Accepted Answer

$sin(2p)=\frac{4}{5}$

Answer

$sin(2p)=\frac{1}{5}$

Answer

$sin(2p)=\frac{3}{5}$

Answer

$sin(2p)=\frac{2}{5}$

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