Best Brain March 2026 Mathematics
Best Brain March 2026 Mathematics - Objective Test Instructions
Answer all questions. Each question is followed by four options A to D. Find out the correct option for each question and shade in pencil on your answer sheet the answer space which bears the same letter as the option you have chosen. Give only one answer to each question. Think carefully before you shade the answer spaces. Erase completely an answer you wish to change. Do all rough work on this question paper.
Question 1
Which line is a line of symmetry for the design below?
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Question 2
If Dan earns GH¢ 8.50 per hour, find the least period he must work to earn more than GH¢ 408.00
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Question 3
Two tables and three chairs together cost GH¢2000 whereas three tables and two chairs together cost GH¢ 2,500. What is the unit cost of a table?
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Question 4
Two tables and three chairs together cost GH¢2000 whereas three tables and two chairs together cost GH¢ 2,500. Each chair costs
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Question 5
The study of Chinese or Dutch or both by a group of 50 students is shown in the Venn diagram below. Every student studies at least one of the two languages. The number of students studying Dutch is 8 more than the number of students studying Chinese. [image in question] How many students study Chinese but not Dutch?
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Question 6
The study of Chinese or Dutch or both by a group of 50 students is shown in the Venn diagram below. Every student studies at least one of the two languages. The number of students studying Dutch is 8 more than the number of students studying Chinese. [image in question] How many students study Dutch but not Chinese?
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Question 7
Express \(0.0043216\) in standard form.
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Question 8
Find the missing numbers in the sequence \(9800750, 9800200, 9799650, \_\_\_, 9798550\).
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Question 9
The numbers of hours worked per week by 400 workers are shown in the table below. What percentage of them worked 19 hours or less?
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Question 10
Simplify \(2\sqrt{18} - 3\sqrt{72} + 3\sqrt{50}\), leaving your answer as a surd.
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Question 11
The graph below shows the first 150 minutes of the distance covered by a cyclist away from home. [image in question] How far did she travel in the first 150 minutes?
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Question 12
The graph below shows the first 150 minutes of the distance covered by a cyclist away from home. [image in question] For how long was she stationary?
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Question 13
Evaluate \(0.25 \times 0.006\) correct to three decimal places.
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Question 14
The table below shows the number of pencils and the corresponding number of erasers needed in your class cupboard. What is the rule that relates the number of pencils to the number of erasers?
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Question 15
There are \(p\) counters in a bag. 12 of the counters are yellow. Hafiz takes at random 30 counters from the bag. 5 of these counters are yellow. Estimate the value of \(p\).
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Question 16
Which of the following fractions is equivalent to \(40\%\)?
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Question 17
I gave a storekeeper a GH¢10.00 note for goods I bought. He asked me for another 15Gp for ease of change. If he then gave 50Gp, how much did I pay for the goods?
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Question 18
If \(n^2 + 1 = 50\), find \(n\)
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Question 19
Divide \(64.5\) by \(0.015\), leaving the answer in Standard form.
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Question 20
Simplify \(\frac{2(u-v)(2u+3v)}{4u+6v}\)
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Question 21
Simplify \(3( 5a^2 + 2c) - 2a( 1 - 3a) - 6c\)
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Question 22
Factorize: \(kx + 2xt - 4k - 8t\)
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Question 23
Each side of the honeycomb below has all sides equal. Find the value of the angle marked \(x\).
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Question 24
If \(y = \frac{x+8}{x-4}\) find the value of \(y\) when \(x = 2\)
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Question 25
Use the map of a town below to answer questions 25 and 26. Which place is exactly North-West of the Station?
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Question 26
Use the map of a town below to answer questions 25 and 26. Find the bearing of the Monument from the Park.
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Question 27
Find the angles marked \(a\) and \(b\) in the figure below.
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Question 28
The volume of water in a rectangular tank is \(30cm^3\). The length of the tank is \(5cm\) and its breadth is \(2cm\). Calculate the depth of water in the tank.
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Question 29
Which of the following best describes the construction below?
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Question 30
What is the rule for the mapping below?
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Question 31
A ribbon is 3 meters and 25 centimeters long. If you need 75-centimeter pieces for decorations, how many pieces can you cut from the ribbon?
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Question 32
There are twice as many blue as yellow and four times as many green as blue cubes in a bag. Calculate the probability that a cube taken at random is yellow.
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Question 33
The bar chart below shows how many cars were sold by a salesman over a period of time. Find the mean number of cars sold per day.
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Question 34
In the triangle XZY, angle XZY = \(90^\circ\) \(|XY| = 13cm\) and \(|YX| = 5cm\). What is the length \(XZ\)?
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Question 35
Three of the angles of an irregular polygon are \(118^\circ\), \(112^\circ\) and \(98^\circ\). If the remaining two angles are equal, what is the size of the equal angles of the polygon?
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Question 36
Joe’s route from home to school is shown in the figure below. What distance does Joe save if he takes road A instead of the other two?
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Question 37
Eighty-seven people are divided into three groups. One group has 6 more than the smallest group, and another has 12 more than the smallest group. How many people are in the smallest group?
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Question 38
If \(a = \begin{pmatrix}2\\1\end{pmatrix}\), \(b = \begin{pmatrix}4\\-1\end{pmatrix}\), \(c = \begin{pmatrix}-2\\-4\end{pmatrix}\), find \(3a + 2b - 5c\)
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Question 39
A student scored 58, 60, 55, 72 and \(y\) respectively in five subjects in an examination. If the average mark for the five papers was 68, what was her score in the fifth paper?
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Question 40
The distance travelled by a cyclist every \(t\) hours is given in kilometers as shown in the table below. Find the value of \(y\)
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Question 41
A, B, C and D are vertices of parallelogram ABCD. If the coordinates of A, B and C are A \( (1, 2) \), B \( (3, -1) \) and C \( (-1, -1) \), find the coordinates of D;
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Question 42
A, B, C and D are vertices of parallelogram ABCD. If the coordinates of A, B and C are A \( (1, 2) \), B \( (3, -1) \) and C \( (-1, -1) \), find \(\overrightarrow{AC}\).
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Question 43
Find the value of \(x\) in the diagram below.
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Question 44
Simplify \(\left(\frac{3}{5} + 1\frac{1}{2}\right) \div \frac{1}{4} \times 3\frac{1}{3}\).
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Question 45
For the formula \(t=\frac{a-m}{1+am}\), make \(m\) the subject.
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Question 46
For the formula \(t=\frac{a-m}{1+am}\), if \(t=8\) and \(a=3\), in 1(c)(i) above, find the value of \(m\).
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Question 47
Given that \(\sqrt{2}=1.4142\), find the value of \(\sqrt{32}\), correct to 3 significant figures.
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Question 48
Simplify the surd: \(\sqrt{18}-\frac{2}{\sqrt{2}}\).
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Question 49
Kuma cultivated \(1.235\) acres of land more than Anokye and Hamidu also cultivated \(0.537\) acres more than Kuma. If the total acres of land cultivated by the three is \(19.057\), find and correct to 1 decimal place, the acres of land cultivated by Anokye;
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Question 50
Kuma cultivated \(1.235\) acres of land more than Anokye and Hamidu also cultivated \(0.537\) acres more than Kuma. If the total acres of land cultivated by the three is \(19.057\), find and correct to 1 decimal place, the acres of land cultivated by Hamidu.
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Question 51
Given that \(r=\begin{pmatrix}4a\\3\end{pmatrix}\), \(q=\begin{pmatrix}5\\-4\end{pmatrix}\) and \(r\cdot q=-2\), find the value of \(a\).
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Question 52
Factorize completely \(4mn+4m-n-1\).
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Question 53
If the price of a calculator which is GH¢ \(150.00\) depreciates by \(4\%\) annually, find the new price after 1 year.
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Question 54
If \(g=\frac{5r+4}{4r-2}\), find the value of \(g\) if \(r=4\).
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Question 55
If \(g=\frac{5r+4}{4r-2}\), find the value of \(r\) if \(g=4\).
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Question 56
Rationalize \(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{10}}\).
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Question 57
Using a scale of \(2\text{ cm}\) to \(1\) unit on both axes, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from \(-5\) to \(5\) and the y-axis from \(-6\) to \(6\). On the same graph sheet, plot indicating all the coordinates of all the vertices: rectangle \(PQRS\) with \(P(1,1)\), \(Q(5,1)\), \(R(5,3)\) and \(S(1,3)\). Find the image \(P_1Q_1R_1S_1\) of rectangle \(PQRS\) under a \(180^\circ\) rotation about the origin, where \(P \to P_1\), \(Q \to Q_1\), \(R \to R_1\) and \(S \to S_1\).
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Question 58
Using a scale of \(2\text{ cm}\) to \(1\) unit on both axes, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from \(-5\) to \(5\) and the y-axis from \(-6\) to \(6\). On the same graph sheet, plot indicating all the coordinates of all the vertices: rectangle \(PQRS\) with \(P(1,1)\), \(Q(5,1)\), \(R(5,3)\) and \(S(1,3)\). Find the image \(P_2Q_2R_2S_2\) of rectangle \(PQRS\) using the x-axis as a mirror line, where \(P \to P_2\), \(Q \to Q_2\), \(R \to R_2\) and \(S \to S_2\).
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Question 59
Using a scale of \(2\text{ cm}\) to \(1\) unit on both axes, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from \(-5\) to \(5\) and the y-axis from \(-6\) to \(6\). On the same graph sheet, plot indicating all the coordinates of all the vertices: rectangle \(PQRS\) with \(P(1,1)\), \(Q(5,1)\), \(R(5,3)\) and \(S(1,3)\). Find the image \(P_3Q_3R_3S_3\) of rectangle \(PQRS\) using the y-axis as a mirror line, where \(P \to P_3\), \(Q \to Q_3\), \(R \to R_3\) and \(S \to S_3\).
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Question 60
Find the sum of \(2.48\), \(3.65\), \(701.532\) and \(102.7\) leaving your answer to one decimal place.
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Question 61
Find an expression for the perimeter of the figure below.
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Question 62
A coconut vendor sells \(120\) pieces of coconuts a day. If he works \(6\) days in a week, find the total number of coconuts he can sell in \(40\) weeks, expressing the answer in standard form.
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Question 63
Find \(0.00182 \div 0.00013\), leave the answer in standard form.
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Question 64
Towns A, K and P are to build a common clinic. The distance from town A to town P is \(16\text{ km}\), from town P to town K is \(18\text{ km}\) and town A to town K is \(20\text{ km}\). Using a pair of compasses and a ruler only, construct a triangle of the three towns, using a scale of \(2\text{ km}=1\text{ cm}\). Mark a point in the triangle to show where the clinic could be built.
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Question 65
In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football.
i. If 12 students like both basketball and football, represent the given information on a Venn diagram.
ii. If 12 students like both basketball and football, how many students like only football?
iii. If 12 students like both basketball and football, how many students like neither basketball nor football?
iv. If 12 students like both basketball and football, how many students like only basketball?
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Question 66
In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football.
i. If 12 students like both basketball and football, represent the given information on a Venn diagram.
ii. If 12 students like both basketball and football, how many students like only football?
iii. If 12 students like both basketball and football, how many students like neither basketball nor football?
iv. If 12 students like both basketball and football, how many students like only basketball?
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Question 67
In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football.
i. If 12 students like both basketball and football, represent the given information on a Venn diagram.
ii. If 12 students like both basketball and football, how many students like only football?
iii. If 12 students like both basketball and football, how many students like neither basketball nor football?
iv. If 12 students like both basketball and football, how many students like only basketball?
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Question 68
In a survey of 50 students, it was found that 30 students like playing basketball and 25 students like playing football.
i. If 12 students like both basketball and football, represent the given information on a Venn diagram.
ii. If 12 students like both basketball and football, how many students like only football?
iii. If 12 students like both basketball and football, how many students like neither basketball nor football?
iv. If 12 students like both basketball and football, how many students like only basketball?
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Question 69
Simplify \(\sqrt{6\frac{2}{3} \div \left(3\frac{4}{15}-1\frac{3}{5}\right)}\).
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Question 70
The data below shows the number of minutes spent by some patients at a certain hospital on a given day: The grouped classes are 31–35, 36–40, 41–45, 46–50, 51–55, 56–60. Copy and complete the frequency distribution table below for the data above; draw a histogram for the data; use the histogram to find the modal minutes; and find the median class.
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Question 71
Given that \(5^{y+1}=\sqrt{5}\), find the value of \(y\).
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Question 72
Find the mean of \(3y\), \(3y\), \(10y\), \(2y\), \(8y\), \(4y\).
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Question 73
Express the days in the month of January in seconds, leaving the answer in standard form.
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Question 74
The pie chart shows angles representing the number of candidates who applied for admission into four programmes at a Senior High School. The number of pupils who applied were \(1{,}080\). Find: (i) the angle \(x\) representing the vocational programme; (ii) the number of candidates who applied for Business Programme; (iii) correct to the nearest whole number, the percentage of the number of applicants who applied for General Programme.
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Question 75
Evaluate \(\left[1\frac{1}{2} \div \left(\frac{2}{3}\right) \div \left(5-\frac{3}{8}\right)\right]\).
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Question 76
Find the values of the variables \(x\) and \(y\) in the diagram below.
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Question 77
Factorize completely \(mp+np-mt-nt\).
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Question 78
Factorize completely \(2xy-8x+3y-12\).
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