Metro Mock March 2026 Mathematics
Metro Mock March 2026 Mathematics - Metro Mock Mathematics Instructions
Answer all questions in this shading paper by shading the correct answer on the shading sheet provided. Shade only one answer. Erase completely if you want to change the option selected.
Question 1
Angles are measured in
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Question 2
Round down 47.69806 to the nearest hundredth.
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Question 3
What is the next two terms of the following sequence. 7, 11, 13, 17, ......., ........?
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Question 4
What principal will amount to GH¢300.00 in 5 years at 4% simple interest per annum?
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Question 5
Find the image of P(3, 6) under the reflection in the line x – 2 = 0
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Question 6
Kofi and Ama went to look for oranges. Kofi collected 135oranges and Ama collected by Kofi
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Question 7
Find reflex angle MON in this figure.
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Question 8
Find the sum of the first even whole numbers.
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Question 9
One of the factors of the expression 2x² + 6x – x – 3 is (x + 3). Find the other factor
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Question 10
A fair coin and a fair die are rolled together once. Find the probability of obtaining a tail and a composite number
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Question 11
Make ‘a’ the subject of the relation 1/a = 1/b – 1/c
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Question 12
Yaw is 7 years younger than his brother. If the sum of their ages is 23years, find Yaw’s age.
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Question 13
Find the product of (√3 – 1) and (2 – √3).
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Question 14
If 2x + 3y = 18 and 4x + 3y = 32, find the value of (2x – y)
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Question 15
The diagram shows the graph of a linear relation of the form y = mx + c. Use the graph to answer the question. Find the slope of the relation
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Question 16
The diagram shows the graph of a linear relation of the form y = mx + c. Use the graph to answer the question. Find the mid-point of the line joining the point A and B
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Question 17
The diagram shows the graph of a linear relation of the form y = mx + c. Use the graph to answer the question. Find the equation of the relation.
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Question 18
A frog leaps in such a way that its distance in metres from the its starting position after each leap is given by 4, 7, 10, …. Find its distance from the starting position before the 10th leap.
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Question 19
Simplify 3x – 2(3 + 2x) + x(2x + 4)
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Question 20
Three bells are set ringing together. One ring every 8 seconds, the second rings every 10 seconds and the third rings every 12 seconds. After how many seconds will they next ring together?
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Question 21
In the figure, angle BCD = 90°, angle BAD = 52°, angle ABC =150° and /BC/ = /CD/. Use the above information to answer the question. Find the variable m
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Question 22
In the figure, angle BCD = 90°, angle BAD = 52°, angle ABC =150° and /BC/ = /CD/. Use the above information to answer the question. What type of triangle ABD?
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Question 23
Kwasi and Yao shared an amount of money in the ratio 2:5. If Kwasi had GH¢150.00 more than Yao, how much did they share?
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Question 24
A bag contains 20 balls, some of which are blue. The chance of choosing a blue ball is 1/4. Find the number of blue balls.
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Question 25
In the diagram angle BAC = 30°, and /BC/ = 6cm. [Take Sin 30° = 0.5] Calculate the length of AB.
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Question 26
Evaluate √147 - √75 + √27
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Question 27
A bus departed from Kumasi at 9:15pm and arrived in Cape Coast at 2:45am the next day. How long did the journey take?
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Question 28
The cost of three items at a shop are GH¢72.00, GH¢1105.00 and GH¢216.00. if a customer bought all the three items and received a change of GH¢207.00, how much did he initially give the shopkeeper?
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Question 29
The interior angles of a triangle are (y + 10)°, (2y – 40)° and (3y – 90)°, which of the following accurately describes the triangle.
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Question 30
Express 0.0054086, correct to three significant figures
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Question 31
Simplify (27^(y+1)) / (3^(y+2))
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Question 32
If the gradient of a straight line is zero, then the line
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Question 33
Alex packed 10,200 mangoes into a number of boxes. If each box contained 170 mangoes, how many boxes were fully packed?
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Question 34
In the figure below UV is parallel to XY, angle UVW = 64° and angle XYW = 78°. Find the value of the angle marked a°
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Question 35
Akua drew three lines such that the length of the first one is 17cm, the second is 15cm longer than the first one and the third is 11cm less than the second. Find the length of the third line
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Question 36
Find the image of the point (2, 4) when it is rotated through 360° about the origin.
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Question 37
Find the gradient of a vector (4, 9).
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Question 38
Madam Joyce wants to know which of the teachers in her school is liked best by most of the learners. Which of the following methods is most suitable for collecting the data
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Question 39
The vectors d = (4, 1) and e = (2m, 3) are parallel, find the value of m
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Question 40
Find the solution set of 5x – 21 ≥ - 11 + 6x
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Metro Mock March 2026 Mathematics - Paper 2 - Question 1 Instructions
Answer only four (4) questions from this section. All questions carry equal marks. All rough work should be done on the answer sheet and cancelled neatly afterwards.
Question 41
Maame Yaa's travel graph shows her journey. Use the graph to answer these questions:
a. How long did she stop at B? (1 mark)
b. How long is the distance from C to D? (1 mark)
c. Find her speed from A to B (2 marks)
d. What is her return speed? (1 mark)
e. Find the total distance travelled by Maame Yaa. (2 marks)
f. Find the average speed of the journey. (2 marks)
Essay Question
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Question 42
The above figure is an acute-angled triangle ABC with AC = 10cm, BC = 6cm and AB = 8cm (without the height). Calculate the area of triangle ABC. (3 marks)
Essay Question
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Question 43
Using the method; find \(\sqrt{6241}\) (2 marks)
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Question 44
Find the sum of the first four even whole numbers. (1 mark)
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Metro Mock March 2026 Mathematics - Paper 2 - Question 2 Instructions
Answer only four (4) questions from this section. All questions carry equal marks. All rough work should be done on the answer sheet and cancelled neatly afterwards.
Question 45
a. Simplify \(\dfrac{\sqrt{72}+ \sqrt{50} - \sqrt{98}}{\sqrt{18} - \sqrt{8}}\) (4 marks)
Essay Question
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Question 46
b. An egg cost GH¢ 250.00, a bottle of mineral cost GH¢4.80. calculate the cost of 3 crates of egg and 4 crates of minerals (7 marks)
Essay Question
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Question 47
Copy and complete the 3 × 3 magic square such that the sum of the numbers in each row, column and diagonal is equal to 93. The magic square has: 30 and 35 in the first row; 31 in the middle of the second row. (4 marks)
Essay Question
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Metro Mock March 2026 Mathematics - Paper 2 - Question 3 Instructions
Answer only four (4) questions from this section. All questions carry equal marks. All rough work should be done on the answer sheet and cancelled neatly afterwards.
Question 48
a. Using a ruler and a pair of compasses only, construct triangle ABC such that angle ABC = 90°, /AB/ = 5.5cm and /BC/ = 8cm.
b. Construct a perpendicular of AC from B.
c. Locate N, the intersection of the perpendicular and /AC/.
d. Measure:
i. /NC/
ii. /BN/
e. Calculate, correct to the nearest whole number, the area of triangle BNC (15 marks)
Essay Question
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Metro Mock March 2026 Mathematics - Paper 2 - Question 4 Instructions
Answer only four (4) questions from this section. All questions carry equal marks. All rough work should be done on the answer sheet and cancelled neatly afterwards.
Question 49
a. Calculate the simple interest of GH¢1,200.00 for 7 months at 4% per annum. (3 marks)
Essay Question
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Question 50
b. Solve two linear equations simultaneously, using a graph method; y + x = 7 and y − 2x = 1 (6 marks)
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Question 51
c. The angle of elevation of the top of a tower from the top of a building, 5m high is 30°. If on the horizontal ground, the building is 40m away from the foot of the tower. [Take Tan 30° = 0.577]
i. Illustrate the information in a diagram. (2 marks)
ii. Calculate, correct to three significant figures, the height of the tower. (4 marks)
Essay Question
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Metro Mock March 2026 Mathematics - Paper 2 - Question 5 Instructions
Answer only four (4) questions from this section. All questions carry equal marks. All rough work should be done on the answer sheet and cancelled neatly afterwards.
Question 52
The head of Mathematics Department is organizing a school trip. Two learners are chosen at random to be group leaders. There are 3 girls and 5 boys to choose from. A probability tree diagram is partially shown with:
i. Copy and complete the probability tree diagram (3 marks)
ii. Find the probability that the head of Mathematics Department selects both a boy and a girl. (2 marks)
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Question 53
b. Mr. Oppong sold his radio set through an agent who charged 9% commission on the selling price. If Oppong received GH¢ 2366.00 after the sale, find the selling price of the radio set (4 marks)
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Question 54
c. Find the solution set of −y < 2 and graph on a Cartesian plane. (4 marks)
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Question 55
In the diagram, XY is a straight line. PQ is a straight line crossing XY at point Q. Angle PQY = 40°, angle BRZ = 110°, where R is on line PQ between P and Z.
Find:
i. ∠PQR
ii. Name triangle PQR
Essay Question
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Metro Mock March 2026 Mathematics - Paper 2 - Question 6 Instructions
Answer only four (4) questions from this section. All questions carry equal marks. All rough work should be done on the answer sheet and cancelled neatly afterwards.
Question 56
a. A fair die and a fair coin are thrown once.
i. Write down the set of all possible outcomes. (3 marks)
ii. Find the probability of obtaining a composite number and a tail. (3 marks)
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Question 57
b. At a food festival, the number of individuals who like yam is thrice the number who like rice. Those who like both foods is one-third those who like rice.
i. Illustrate the information on a Venn diagram. (3 marks)
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Question 58
The above figure is a parallelogram with vertices PQRS. P(x, y), Q(5, 7), R(2, 4) and S(1, 3).
Find:
i. Vector PQ and vector SR, hence find the value of x and y.
ii. /RQ/, leaving the result in surds form (6 marks)
Essay Question
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