Question 1:
1 A night bus runs from 2150 to 05 18 the next day.
Work out the number of hours and minutes that the night bus runs.
………………. h ………………..min
▶️Answer/Explanation
Ans :
7h 28min
Question 2:
Calculate $\sqrt[]{5.76}+2.8^{3}$.
▶️Answer/Explanation
Ans :
24.352
Question 3:
Simplify 4m+7k -m+3k.
▶️Answer/Explanation
Ans :
3 10 m k + final answer
Question 4:
The diagram shows the net of a cuboid with its base shaded.
The length of the cuboid is 10 cm, its width is 4cm and its height is 5cm.
Write down the values of each of a, b, c and d.
▶️Answer/Explanation
Ans;
4 a = 18 b = 10 c = 4 d = 9
Question 5:
There are 20 cars in a car park and 3 of the cars are blue.
(a) James wants to draw a pie chart to show this information. Find the angle of the sector for the blue cars in this pie chart.
(b) One of the 20 cars is picked at random. Find the probability that this car is not blue.
▶️Answer/Explanation
Ans :
5(a) 54
5(b) $\frac{17}{20}$oe
Question 6:
Write $\xrightarrow[]{AB}$ as a column vector.
$\xrightarrow[]{AB}\binom{}{}$
▶️Answer/Explanation
Ans :
$\binom{-10}{3}$ final answer
Question 7:
As the temperature increases, the number of people who go swimming increases.
Write down the type of correlation that this statement describes.
▶️Answer/Explanation
Ans :
Positive
Question 8:
8 (a) The nth term of a sequence is n$^{2}$-3.
Find the first three terms of this sequence.
(b) These are the first five terms of a different sequence.
1 3 9 27 81
Find the nth term of this sequence.
▶️Answer/Explanation
Ans :
8(a) −2 1 6
8(b) $3^{n-1}$
Question 9:
The line y = 2x- 5 intersects the line y = 3 at the point P.
Find the coordinates of the point P.
▶️Answer/Explanation
Ans :
(4, 3)
Question 10:
The diagram shows a trapezium PQRS.
Calculate the area of the trapezium.
………………………………….. cm2
▶️Answer/Explanation
Ans :
26.6
Question 11:
Without using a calculator, work out
$1\frac{1}{4}-\frac{5}{6}$
You must show all your working and give your answer as a fraction in its simplest form.
▶️Answer/Explanation
Ans :
$\frac{5}{4}or \frac{1}{4}+ \frac{1}{6}$
$\frac{15}{12} and \frac{10}{12}$
$\frac{5}{12}cao$
Question 12:
Farid spins a three-sided spinner with sides labelled A, B and C.
The probability that the spinner lands on C is 0.35 .
Farid spins the spinner 40 times.
Calculate the number of times he expects the spinner to land on C.
▶️Answer/Explanation
Ans :
12
Question 13:
The bearing of B from A is 107°.
Calculate the bearing of A from B.
▶️Answer/Explanation
Ans :
287
Question 14:
A train, 1750 metres long, is travelling at 55km/h.
Calculate how long it will take for the whole train to completely cross a bridge that is 480 metres long.
Give your answer in seconds, correct to the nearest second.
……………………………………….. s
▶️Answer/Explanation
Ans :
146 cao
Question 15:
(a) Describe fully the single transformation that maps
(i) triangle A onto triangle B
(ii) triangle A onto triangle C.
(b) Draw the image of triangle A after a rotation, 90° clockwise, about (1 , 3).
▶️Answer/Explanation
Ans :
15(a)(i) reflection
x = −2
15(a)(ii) enlargement
$\left \lfloor sf\right \rfloor\frac{1}{2}$
(−3, -4)
Question 16:
$x$ is an integer.
\[\mathcal{E} = \{x : 1 \leq x \leq 10\}\]
\[P = \{x : x \text{ is an even number}\}\]
\[Q = \{x : x \text{ is a multiple of } 5\}\]
Complete the Venn diagram.
▶️Answer/Explanation
Ans :
Question 17:
The height of each of 200 people is measured.
The table shows the results.
Calculate an estimate of the mean height.
▶️Answer/Explanation
Ans :
138.425
Question 18:
Find the highest common factor (HCF) of 28x$^{5}$ and 98x$^{3}$
▶️Answer/Explanation
Ans :
14x$^{3}$
Question 19:
The speed–time graph shows information about a bus journey.
Calculate the total distance travelled by the bus.
……………………………………… m
▶️Answer/Explanation
Ans :
2325
Question 20:
Calculate the area of triangle ABC.
▶️Answer/Explanation
Ans :
5.36 or 5.360 to 5.361
Question 21:
(a) $\sqrt[5]{3}=3^{h}$
Write down the value of h.
h = …………………………………………
(b) Simplify $\left ( 4x^{3} \right )^{3}$.
………………………………………….
▶️Answer/Explanation
Ans :
21(a) $\frac{1}{5}oe$
21(b) 64x$^{9}$
Question 22
y is inversely proportional to the square of (x+3 ) .
When x = 5, y = 0.375 .
Find y in terms of x.
y = …………………………………………
▶️Answer/Explanation
Ans :
$\left [ y= \right ]\frac{24}{(x+3)^{2}}$ oe final answer
Question 23:
(a) On the axes, sketch the graph of y= cosx, for 0° $\leqslant x\leqslant360^{0}$
(b) Solve the equation cos x = 0.294 for 0° $\leqslant x\leqslant360^{0}$
x = ……………… or x = ………………
▶️Answer/Explanation
Ans :
23(a)
Correct sketch to go through (0, 1), close to (360, 1) and reasonably close to (180, –1)
23(b)
72.9 and 287.1
Question 24:
$x^{2}-16x+a$ can be written in the form (x+b)$^{2}$ .
Find the value of a and the value of b.
a = …………………………………………
b = …………………………………………
▶️Answer/Explanation
Ans :
$\left [ a= \right]64$
$\left [ b= \right]-8$
Question 25:
A bag contains 2 green buttons, 5 red buttons and 6 blue buttons.
Two buttons are taken at random from the bag without replacement.
Calculate the probability that the two buttons are different colours.
▶️Answer/Explanation
Ans :
$\frac{2}{3}$ oe nfww
Question 26:
A is the point (6, 1) and B is the point (2, 7).
Find the equation of the perpendicular bisector of AB.
Give your answer in the form y =mx+ c.
y = ………………………………………….
▶️Answer/Explanation
Ans :
$y=\frac{2}{3}x+\frac{4}{3}$ final answer