BECE mock exam

Mathematics — Best Brain October 2026 Mathematics

79 questions to work through. Answer them here, or take the whole thing timed with an account.

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1. [1]

BECE mock · Mathematics

Find \(124.3+0.275+74.06\), correct to one decimal place.
2. [1]

BECE mock · Mathematics

Solve the inequality \(2x+1>9\).
3. [1]

BECE mock · Mathematics

A football match starts at 1:20 p.m. and lasts for 1 hour 50 minutes. At what time will the match end?
4. [1]

BECE mock · Mathematics

The sum of three consecutive odd integers is 33. Find the numbers.
5. [1]

BECE mock · Mathematics

If the area of a circle is \(64\pi\), what is its circumference?
6. [1]

BECE mock · Mathematics

Nine men can complete a piece of work in 51 days. In how many days will 17 men of the same strength finish the same work?
7. [1]

BECE mock · Mathematics

The mean of the numbers 5, 8, 4, 7 and \(2x\) is 6. Find \(x\).
8. [1]

BECE mock · Mathematics

Kojo’s age in the next 10 years will be 4 times his age 5 years ago. How old is Kojo now?
9. [1]

BECE mock · Mathematics

Which of the following is not equivalent to \(3\times3\times3\times3\times3\times3\)?
10. [1]

BECE mock · Mathematics

Find the value of \(12x+9q\) when \(x=11\) and \(q=3\).
11. [1]

BECE mock · Mathematics

Which is the locus of points at a fixed distance from a given point?
12. [1]

BECE mock · Mathematics

If \(\frac{n}{100}=10.5\), find \(n\).
13. [1]

BECE mock · Mathematics

Point \(A\) has coordinates \((2,3)\). If \(\overrightarrow{AB}=\begin{pmatrix}5\\-4\end{pmatrix}\), find the coordinates of \(B\).
14. [1]

BECE mock · Mathematics

Evaluate \((0.07\times0.02)\div14\).
15. [1]

BECE mock · Mathematics

Which of the following sets is the largest?
16. [1]

BECE mock · Mathematics

Sam has \(5xy\) toffees and Joe has \(20xy\) toffees. How many more toffees has Joe?
17. [1]

BECE mock · Mathematics

[image required] Diagram of a rectilinear shape 9.7 cm across at the top, with lower horizontal segments 2.1 cm and 3.4 cm and an unknown middle horizontal span \(x\). Which calculation finds \(x\)?
18. [1]

BECE mock · Mathematics

Find the solution set of \(5-5(3-y)\le65\) where \(y\) is one of the first six positive multiples of 5.
19. [1]

BECE mock · Mathematics

Mina is \(x\) years old now. How old will she be in \(10+y\) years?
20. [1]

BECE mock · Mathematics

A line passes through \((1,2)\) and \((4,y)\). What is \(y\) if the gradient is \(-2\)?
21. [1]

BECE mock · Mathematics

If \(\overrightarrow{AB}=\begin{pmatrix}3\\5\end{pmatrix}\) and \(\overrightarrow{AC}=\begin{pmatrix}-4\\5\end{pmatrix}\), find \(\overrightarrow{BC}\).
22. [1]

BECE mock · Mathematics

A line passes through the points \((2,6)\) and \((4,12)\). Find its constant of proportionality.
23. [1]

BECE mock · Mathematics

A van travels 154 km in \(1\frac34\) hours. Find its speed in km/h.
24. [1]

BECE mock · Mathematics

A hall which is 20 m long is represented on a diagram as 10 cm long. What is the scale of the diagram?
25. [1]

BECE mock · Mathematics

If \(13x-12=5x+60\), find \(x\).
26. [1]

BECE mock · Mathematics

Order the fractions \(\frac38,\frac12,\frac5{16}\) from smallest to largest.
27. [1]

BECE mock · Mathematics

[image required] Diagram of triangle XYZ with \(XY=YZ\), \(\angle XYZ=42^\circ\), and \(\angle YXZ=(4y+8)^\circ\). Find \(\angle YXZ\).
28. [1]

BECE mock · Mathematics

The mean of ten numbers is 58. One of the numbers is 40. What is the mean of the remaining nine numbers?
29. [1]

BECE mock · Mathematics

The population of pigs on a farm is \(5(2x-3)\), where \(x\) is in months. Find the population after 4 months.
30. [1]

BECE mock · Mathematics

[image required] Diagram of triangle MNO showing a line NP through N, a ray MP through M parallel to NO, and an exterior angle at N. Angle MON and angle PMO are what type of angles?
31. [1]

BECE mock · Mathematics

[image required] Diagram of triangle MNO showing an exterior angle of \(105^\circ\) at N and an interior angle of \(57^\circ\) at M. Find \(\angle MON\).
32. [1]

BECE mock · Mathematics

A fly weighs 0.1 kg. How much would 112 flies weigh combined?
33. [1]

BECE mock · Mathematics

The population growth of a town is given by \(2^{2m}\), where \(m\) is in years. Find the time needed for the population to be \(4^{14}\).
34. [1]

BECE mock · Mathematics

Which of the following is an example of numerical data?
35. [1]

BECE mock · Mathematics

[image required] Line graph of a walker’s height along a trail, with sections A–H. Which section shows the steepest positive gradient?
36. [1]

BECE mock · Mathematics

[image required] Line graph of a walker’s height along a trail, with sections A–H. Which section shows the shallowest positive gradient?
37. [1]

BECE mock · Mathematics

[image required] Line graph of a walker’s height along a trail, with sections A–H. In which section is the gradient zero?
38. [1]

BECE mock · Mathematics

Given that \(P=\begin{pmatrix}3x-6\\2y+5\end{pmatrix}\), \(R=\begin{pmatrix}9\\7\end{pmatrix}\), and \(P=R\), find \(x\) and \(y\).
39. [1]

BECE mock · Mathematics

Solve the equation \(15-2x=6\).
40. [1]

BECE mock · Mathematics

A baker has 12 identical cakes. In how many different ways can the baker divide them into equal packets?
41. [1]

BECE mock · Mathematics

Convert 31 days into minutes and express your answer in standard form.
42. [1]

BECE mock · Mathematics

Convert 6 hours into seconds and express your answer in standard form.
43. [3]

BECE mock · Mathematics

Fred earns GH₵2,500 a month after tax; Eben earns three times as much. Find their combined earnings over five years if neither receives an increase.
44. [3]

BECE mock · Mathematics

The data \(2,3,4m-3,3m+1,11,13\) are arranged in ascending order. If the median is 6, find \(m\).
45. [3]

BECE mock · Mathematics

The marks of 20 students are 68, 42, 63, 57, 66, 54, 72, 58, 57, 73, 61, 54, 63, 45, 38, 40, 57, 58, 56, 48. Arrange them in a stem-and-leaf plot in ascending order.
46. [2]

BECE mock · Mathematics

The marks of 20 students are 68, 42, 63, 57, 66, 54, 72, 58, 57, 73, 61, 54, 63, 45, 38, 40, 57, 58, 56, 48. Find the mode.
47. [2]

BECE mock · Mathematics

The marks of 20 students are 68, 42, 63, 57, 66, 54, 72, 58, 57, 73, 61, 54, 63, 45, 38, 40, 57, 58, 56, 48. Find the median.
48. [2]

BECE mock · Mathematics

Amina had \(2\frac12\) litres of water and drank \(\frac13\) litre. How many litres are left?
49. [2]

BECE mock · Mathematics

Find \(0.893\times14.7\), correct to four decimal places.
50. [2]

BECE mock · Mathematics

The mean height of 28 students is 162 cm. A student whose height is 149 cm joins the class. Find the new mean height.
51. [2]

BECE mock · Mathematics

Find \(x\) if \((-3)^{x-2}=-243\).
52. [2]

BECE mock · Mathematics

The water-consumption pattern of a community is given by \(11^{4x-3}\), where \(x\) is the number of months. Find the consumption after two months, correct to four significant figures.
53. [2]

BECE mock · Mathematics

A class records the number of marbles brought to a lesson. The counts \(x=1,2,3,4,5,6\) have frequencies \(4,5,\text{unknown},9,\text{unknown},2\). The values \(fx\) for 3 and 5 marbles are 42 and 30 respectively. Complete the missing frequencies and all \(fx\) values.
54. [1]

BECE mock · Mathematics

In a marble survey, the numbers \(1,2,3,4,5,6\) have frequencies \(4,5,14,9,6,2\). How many students are in the class?
55. [1]

BECE mock · Mathematics

In a marble survey, 2 students brought six marbles. How many students brought six marbles?
56. [1]

BECE mock · Mathematics

In a marble survey, the numbers \(1,2,3,4,5,6\) have frequencies \(4,5,14,9,6,2\). What is the most popular number of marbles?
57. [4]

BECE mock · Mathematics

Mary earns GH₵8.25 an hour for 8 hours, plus overtime at \(1\frac12\) times her normal hourly rate for a further 4 hours. Find her total earnings for the day.
58. [2]

BECE mock · Mathematics

[image required] Diagram needed: right-angled triangle \(PQR\), angle \(R=90^\circ\), \(QR=6\text{ cm}\), \(PR=8\text{ cm}\), and angle \(\theta\) at \(Q\). Find \(PQ\).
59. [2]

BECE mock · Mathematics

[image required] Diagram needed: right-angled triangle \(PQR\), angle \(R=90^\circ\), \(QR=6\text{ cm}\), \(PR=8\text{ cm}\), and angle \(\theta\) at \(Q\). Find \(\tan\theta\).
60. [4]

BECE mock · Mathematics

Solve \(6\geq2-3x\) and show the solution on a number line.
61. [3]

BECE mock · Mathematics

Find the area of a semicircle with radius 7 cm. Take \(\pi=\frac{22}{7}\).
62. [4]

BECE mock · Mathematics

A primary school has 35, 45, 24, 33, 23 and 20 pupils in Classes One to Six respectively. Draw a pie chart for this data.
63. [1]

BECE mock · Mathematics

There are 45 pupils in Class Two out of 180 primary pupils. Find the fraction of pupils in Class Two.
64. [2]

BECE mock · Mathematics

A school has 24 pupils in Class Three, 33 in Class Four, and 23 in Class Five, out of 180 pupils in all. Find their combined percentage to two decimal places.
65. [2]

BECE mock · Mathematics

A straight line has gradient 7 and passes through \(P(-2,-3)\). Find its equation.
66. [2]

BECE mock · Mathematics

A line has gradient 7 and passes through \(P(-2,-3)\). The point \(R(k,4)\) is on the line. Find \(k\).
67. [2]

BECE mock · Mathematics

Evaluate \(\frac23\times\frac14+\frac25\div\frac{14}{15}\).
68. [2]

BECE mock · Mathematics

The distance from A to B is \((x+2)\) km and from C to D is \((2x+1)\) km on a rectangular route. Its perimeter is 48 km. Find \(x\).
69. [1]

BECE mock · Mathematics

A bag contains 5 red, 3 blue and 2 green pens. Find the probability of selecting a red pen.
70. [2]

BECE mock · Mathematics

A bag contains 5 red, 3 blue and 2 green pens. Express the probability of picking a blue pen as a decimal, percentage and ratio.
71. [3]

BECE mock · Mathematics

A bag contains 5 red, 3 blue and 2 green pens. Two pens are selected one after the other without replacement. Find the probability that both are green.
72. [2]

BECE mock · Mathematics

Asoamah leaves Takoradi at 11:13 a.m. and arrives in Tema at 3:08 p.m. Find the journey duration.
73. [2]

BECE mock · Mathematics

A pump delivers 20 gallons of water per minute. How many gallons enter a tank in half an hour?
74. [3]

BECE mock · Mathematics

Of 36 fishmongers, 28 sell mackerel, 18 sell tilapia, and 13 sell both. Represent these counts on a Venn diagram.
75. [2]

BECE mock · Mathematics

Of 36 fishmongers, 28 sell mackerel, 18 sell tilapia, and 13 sell both. How many sell neither fish?
76. [4]

BECE mock · Mathematics

[image required] Diagram needed: rectangular frame with an outer rectangle labelled \((5x+8)\) across and \((6x+2)\) high, and an unshaded inner rectangle labelled \((x+6)\) across and \(5x\) high. Find the area of the shaded region.
77. [4]

BECE mock · Mathematics

Solve \(\frac4{3x}=7-\frac3x\).
78. [4]

BECE mock · Mathematics

Simplify \(\frac{25t^{-4}}{5^{-3}\times10\times t^{-5}}\).
79. [3]

BECE mock · Mathematics

Given \(a=\begin{pmatrix}-4\\p\end{pmatrix}\), \(b=\begin{pmatrix}q\\1\end{pmatrix}\), and \(a+b=\begin{pmatrix}-1\\-8\end{pmatrix}\), find \(p\) and \(q\).

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