Question1
Write $928$ correct to the nearest ten.
▶️Answer/Explanation
$930$
Question2
Write down a fraction that is equivalent to $\frac{7}{9}.$
▶️Answer/Explanation
$\frac{7k}{9k}$ where $k$ is an integer $> 1$
Question3
Work out.
$-4+6\times3$
▶️Answer/Explanation
$14$
Question4
Bobby records the number of days a shop is open during $30$ days.
Complete the table.
▶️Answer/Explanation
$23, 7,$ 
Question5
(a) Complete the statement.
The diagram has rotational symmetry of order …………………… . [1]
(b) On the diagram, draw all the lines of symmetry.
▶️Answer/Explanation
(a) $2$
(b) 
Question6
Write down the reciprocal of 16 as a decimal.
▶️Answer/Explanation
$0.0625$
Question7
The stem-and-leaf diagram shows the ages of 21 people.
(a) Find the fraction of people who are more than 30 years old.
(b) Work out the range.
(c) Find the median.
▶️Answer/Explanation
(a): $\frac{2}{3}$
(b): $41$
(c): $39$
Question8
Find the total surface area of the cuboid.
▶️Answer/Explanation
$158$
Question9
The diagram shows a triangular prism.
On the 1cm2 grid, draw a net of the prism.
▶️Answer/Explanation
Correct ruled net
Question10
Olga thinks that $87$ is a prime number.
Is Olga correct?
Give a reason for your answer.
▶️Answer/Explanation
No
87 divides by 3.
Question11
A film lasts for $2$ hours $50$ minutes.
The film ends at 23 05.
Find the time the film starts.
▶️Answer/Explanation
$2015$ or $8:15$ pm
Question12
Triangle $ABC$ is isosceles.
$\operatorname{Angle}BAC=38^{\circ}$ and $AB=AC.$
Find the value of $x.$
▶️Answer/Explanation
$71$
Question13
By writing each number in the calculation correct to 1 significant figure, find an estimate for the
value of
$$\frac{6.8\times10.6}{3.2-0.98}.$$
You must show all your working.
Complete the table.
▶️Answer/Explanation
$\frac{7 \times 10}{3-1}$. $35$
Question14
The scatter diagram shows information about the time spent in a shop and the number of items bought.
(a) What type of correlation is shown on the scatter diagram?
(b) Describe the relationship between the time spent in the shop and the number of items bought.
(c) Draw a line of best fit on the scatter diagram.
▶️Answer/Explanation
(a): Positive
(b): Correct description e.g. The longer people spend in the shop the more items they buy.
(c): Correct ruled line (
Question15
Simplify $d^8\div d^2.$
▶️Answer/Explanation
$d^6$
Question16
Maddie changes $4000$ Swiss francs into dollars when the exchange rate is $1=0.913$ Swiss francs
Work out how many dollars she receives.
▶️Answer/Explanation
$4380, 4381, 4381.1, 4381.20, 4381.16$
Question17
Find the highest common factor (HCF) of $32$ and $120$
▶️Answer/Explanation
$8$
Question18
The probability that Tom is late for school is $0.12.$
There are $200$ school days this year.
Work out the expected number of times that Tom is late for school this year
▶️Answer/Explanation
$24$
Question19
Expand and simplify.
$$(x-5)(x+8)$$
▶️Answer/Explanation
$x^2 + 3x – 40$
Question20
The diagram shows a circle, centre $O$, diameter $AB.$
$A,B$ and $C$ lie on the circumference of the circle.
(a) Write down the mathematical name of the line $AC.$
$( \mathbf{b} )$ Find the value of $x.$
Give a geometrical reason for your answer.
▶️Answer/Explanation
(a): Chord
(b): $58$. Angle in a semicircle $= 90^\circ$
Question21
A spinner has five sides.
Each side is painted red, blue, green, yellow or orange.
The table shows some of the probabilities of the spinner landing on each colour.
(a) Complete the table.
(b) Dan spins the spinner once.
Find the probability that the spinner lands on red or blue.
▶️Answer/Explanation
(a): $0.11$
(b): $0.46$
Question22
Vanessa invests $\$8500$ at a rate of $3.5\%$ per year compound interest.
Calculate the value of her investment at the end of 6 years.
Give your answer correct to the nearest dollar.
▶️Answer/Explanation
$10449$
Question23
The diagram shows three shapes, $A,B$ and $C$,on$\text{1 cm}^2$ grid
Describe fully the single transformation that maps
(a) shape $A$ onto shape $B$
(b) shape $A$ onto shape $C.$
▶️Answer/Explanation
(a): Rotation, centre $(-3, 3)$, $90^\circ$ clockwise
(b): Translation $\begin{pmatrix} 7 \\ -2 \end{pmatrix}$
Question24
\(\begin{aligned}&\textbf{Without using a calculator, work out 5}\frac{11}{12}+2\frac{1}{4}.\\&\text{You must show all your working and give your answer as a mixed number in its simplest form.}\end{aligned}\)
▶️Answer/Explanation
$\frac{k}{12} + \frac{27}{12}$ or $\frac{71}{12} + \frac{c}{12}$.
Question25
In this question. both lengths are in centimetres.
The diagram shows two lines, $AB$ and $CD.$
The length of $AB$ is 10x-12. The length of $CD$ is $2x+3.$ Line $AB$ is 3 times as long as line $CD$
Work out the value of $x.$
▶️Answer/Explanation
$5.25$