Question1
Work out the number of months in 5 years.
▶️Answer/Explanation
60
Question2
Write 3752 correct to the
(a) nearest 10
(b) nearest 100.
▶️Answer/Explanation
(a) 3750 cao
(b) 3800 cao
Question3
Magazines cost $3.40 each.
Rosina has $15 to buy as many magazines as possible.
Complete the statement.
Rosina can buy …………….. magazines and will have $ …………….. left.
▶️Answer/Explanation
4 1.4[0]
Question4
Write down the mathematical name of a 4-sided shape that has rotational symmetry of order 2 and
no lines of symmetry.
▶️Answer/Explanation
Parallelogram
Question5
21 8 15 32 3 29 19 45 8
Calculate the mean of these numbers.
▶️Answer/Explanation
20
Question6
A train journey starts at 21 : 43.
It takes 8 hours and 32 minutes.
Find the time the journey finishes.
▶️Answer/Explanation
06 15 or 6:15am
Question7
Write these numbers in order, starting with the smallest.
$\frac{15}{213}$ 0.071 0.7 7%
……………………. < ……………………. < ………………….. < …………………….
smallest
▶️Answer/Explanation
$7 \% \quad \frac{15}{213} \quad 0.071 \quad 0.7$
Question8
Write the fraction $\frac{24}{84}$ in its simplest form.
▶️Answer/Explanation
$\frac{2}{7}$
Question9
Simplify.
$3a-5b-a-6b$
▶️Answer/Explanation
$2a – 11b$
Question10
The cost of hiring a bicycle, $\$C$, for y hours is given by the formula $C=12+3.5y.$
Maria pays $\$36.50$ to hire this bicycle. Work out the number of hours she hires the bicycle for.
▶️Answer/Explanation
7
Question11
$a=\binom{3}{7}$ $b=\binom{-2}{5}$
Work out a-2b
▶️Answer/Explanation
$\binom{7}{-3}$
Question12
(a) The diagram shows a pair of parallel lines and a straight line.
Write down the geometrical reason why the value of x is 52.
(b) Find the value of y and write down the geometrical reason for your answer.
▶️Answer/Explanation
(a) Alternate angles
(b) 196
Angles at a point sum to 360
Question13
Calculate the volume of a sphere with diameter 4.8cm.
[The volume, V, of a sphere with radius r is $V=\frac{4}{3}\pi r^3$]
▶️Answer/Explanation
57.9 or 57.90 to 57.91….
Question14
By writing each number in the calculation correct to 1 significant figure, work out an estimate for the
value of
$\frac{6.7 \times 2.1}{18-5.9}$
▶️Answer/Explanation
$\frac{7 \times 2}{20-6}$
Question15
Eric has four colours of paint.
The table shows the probability that he uses each colour.
Find the value of x.
▶️Answer/Explanation
0.22 oe
Question16
Factorise completely.
$8x^2-20x$
▶️Answer/Explanation
4x(2x – 5)
Question17
(a) The nth term of a sequence is $10-n^2$
Write down the first three terms of this sequence.
(b) These are the first four terms of another sequence.
7 10 13 16
Find an expression for the nth term of this sequence.
▶️Answer/Explanation
(a) 9 6 1
(b) 3n + 4
Question18
The length, l metres, of a piece of wood is 3.6 metres, correct to the nearest 10 centimetres.
Complete this statement about the value of l.
▶️Answer/Explanation
3.55 3.65
Question19
Calculate $1\div (6.4 \times 10^{-5})$
Give your answer in standard form.
▶️Answer/Explanation
$1.5625 × 10^4$
(b)
Shape drawn correctly
Question20
Without using a calculator, work out
$2\frac{1}{7}\div \frac{5}{9}$
You must show all your working and give your answer as a mixed number in its simplest form.
▶️Answer/Explanation
$\frac{15}{7} \times \frac{9}{5}$
Question21
The diagram shows a right-angled triangle.
Use the information in the diagram to write down and solve an equation to find the value of x.
▶️Answer/Explanation
$4x + 3x – 1 + 90 = 180$
Question22
The diagram shows a right-angled triangle.
Calculate the value of y.
▶️Answer/Explanation
30.4 or 30.36 to 30.37
Question23
Triangle ABC is similar to triangle DEF.
Calculate the value of h.
▶️Answer/Explanation
$6.3$
Question24
$$
\begin{aligned}
& \mathscr{E}=\{\mathrm{a}, \mathrm{~b}, \mathrm{c}, \mathrm{~d}, \mathrm{e}, \mathrm{f}, \mathrm{~g}, \mathrm{~h}, \mathrm{i}, \mathrm{j}, \mathrm{k}\} \\
& F=\{\mathrm{f}, \mathrm{a}, \mathrm{c}, \mathrm{e}\} \\
& B=\{\mathrm{b}, \mathrm{a}, \mathrm{c}, \mathrm{k}\}
\end{aligned}
$$
(a) Complete the Venn diagram.
(b) Find $\mathrm{n}(F \cup B)$.
▶️Answer/Explanation
(b) 6
Question25
At a cinema, an adult ticket costs $\$a$ and a child ticket costs $\$c$.
(a) Farah buys 3 adult tickets and 4 child tickets for $\$38.50$ .
Complete the equation.
$3a + 4c =$ ?
(b) Hana buys $6$ adult tickets and $5$ child tickets for $\$65.00$ .
Write down another equation in terms of a and c.
(c) Solve the two simultaneous equations to find the value of a and the value of c.
You must show all your working.
▶️Answer/Explanation
(a) 38.5
(b) 6a + 5c = 65
(c) Correctly eliminating one variable
[a =] 7.5
[c =] 4