CEMPE March 2026 Mathematics
CEMPE March 2026 Mathematics - CEPME Mathematics Instructions
Answer all questions. Each question is followed by four options lettered 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.
Question 1
A pencil and 6 erasers cost Gh¢15.00. The pencil cost Gh¢6.00. What is the cost of one eraser?
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Question 2
Solve the equation \(10^{2x}=0.000001\)
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Question 3
If p oranges are sold for q pesewas each, find the total selling price in cedis
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Question 4
Which of the basic properties of rational numbers is used in the following experation? \((27x24) +(23x24)=50x24\)
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Question 5
The set p={prime factors of 24} and the set Q ={ prime factors of 35}. List the members of P∪Q
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Question 6
Find the median of the numbers 25,57, 17, 33, 73, 81, 42
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Question 7
Factorize x (x-2) - 3xy +6y
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Question 8
If 15-px -x² = 0 find p, when x =3
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Question 9
Make w the subject of the relation \(\frac{1}{y}= \frac{a}{x} + \frac{b}{w}\)
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Question 10
In the diagram OP || NQ, MSN is a straight line MÔP =53 and SNQ =135°. Find OMS.
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Question 11
What is P∩Q in the diagram below?
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Question 12
A circle of diameter 14cm is cut from a square of side 14cm. Find the remaining area (Take π=22/7)
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Question 13
An increase of 20% in Yaa’s salary raised it to Gh¢24000.00. What was her original salary?
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Question 14
What is the rule for the mapping below?
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Question 15
A car travels at an average speed of 80km/h How far does it travel in 48 minutes?
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Question 16
The exterior angle of a regular polygon is 120°. Find the sum of its interior angles
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Question 17
By selling a radio for Gh600.00, a man made a loss of 25%. What was the cost of the radio?
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Question 18
The gradient of a gentle hill is 0.5. What is the vertical rise corresponding to a horizontal distance of 160m?
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Question 19
Find the tangent of the angle x in the diagram
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Question 20
A trader received a commission of 12.5% on sales made in a month. His commission was Gh¢3500.00. Find his total sales for the month
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Question 21
If r = \( \begin{pmatrix} 3 \\ 1 \end{pmatrix} \) and v = \( \begin{pmatrix} -2 \\ 1 \end{pmatrix} \) evaluate 6(r+2v)
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Question 22
If 22% of the length of a rope is 55cm. Find the full length of the rope
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Question 23
How many lines of symmetry does a rectangle have?
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Question 24
Which properly is illustrated by the statement ax(b+c) =(axb)+ (axc)?
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Question 25
Solve the equation 13x -2 (3x+4)=22
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Question 26
Simplify -27+18-(10-14)-(-2)
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Question 27
Yaa went to the market and bought 500g of meat 850g of eggs and 900g of fish. What is the total weight of the items she bought in kilo grams?
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Question 28
A boy walks on a bearing 060°. Which of the following diagram show his direction?
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Question 29
The point Y (5, 4) is reflected in the y-axis. Find its image
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Question 30
Calculate the volume of a cylinder with diameter 14cm and height 10cm. (Take x=22/7)
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Question 31
The average age of five boys is 16years. The average age of four of them is 18years 6months. What is the age of the fifth boy?
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Question 32
Find the value of 9+y² -6y when y= -2
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Question 33
If \( \frac{m+1}{m-2} = r\), express m in terms of r
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Question 34
Which of the fractions 3/5, 7/10, 13/20 and 3/4 is the greatest?
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Question 35
Which of the following is a prism?
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Question 36
The price of an article was increased by 10%. How many times was the new price greater than the old price?
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Question 37
What length of carpet 0.75m wide will be required to cover completely the floor of a room which is 15m long and 10m wide?
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Question 38
Factorize x²-5x+6
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Question 39
An angle which is more than 90° but less than 180° is.............
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Question 40
What is the image of -4 in the mapping x → 2x -9?
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Question 41
1. a. Mrs. Annor was allowed a discount of 12% on a brand-new freezer which cost Gh¢7,430.00. Find the i. discount ii. amount he paid for the freezer
Essay Question
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Question 42
1. b. Given that (5x-7)° and (7x+13)° are complementary, find the value of x
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Question 43
1. c. Simplify (8x/5) - ((2r-5n)/3)
Essay Question
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Question 44
2. a. The sum of the ages of Yaw and Ama is 27. Yaw is 5 years older than Ama. Find the age of Yaw and Ama
Essay Question
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Question 45
2. b. Find the solution set of the inequality 6+3(5-2b)-2(b-3)>3, if b has a domain {0,1,2,3,4,5}
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Question 46
2. c. If p = ((2x-1),(4)) , q = ((10),(-8)) and r = ((3),(5+y)) find the values of x and y if r = 1/2 q-p.
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Question 47
3. a. Find 0.0009 x 0.074 x 0.00006, leaving the answer in standard form.
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Question 48
3. b. Simplify √12 + 3/√3
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Question 49
3. c. Given that 2/y = a/x + b/u, make x the subject of the relation
Essay Question
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Question 50
4. a. A man sold an article for Gh1500.00 and made a profit of 20%, find the cost price of the article
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Question 51
The data shows the masses (kg) of 10 baskets full of cassava sent to market by a farmer
i. Find the ; α. the value of x β. mean mass
ii. Find the probability of selecting a baskets at random whose mass is prime
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Question 52
5. a. A ladder 8 metres long leans against a wall and makes an angle of 60° with the ground. How far from the wall is the foot of the ladder? (Take cos 60°= 0.5)
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Question 53
5. b. The ratio of the sheep to goats on a farm is 4:7. If there are 1428 sheep, find the number of goats on the farm.
Essay Question
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Question 54
5. c. i. Calculate 1/2 + 5/12 - 2/3 x 4
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Question 55
5. c. ii. Evaluate 72.4^2 - 31.4^2
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Question 56
6. a. Using a scale of 2cm to 3units on both axe is, draw on a graph sheet two perpendicular axes ox and oy for the interval -10<x<10 and -10<y<10
6. b. Draw a rectangle PQRS with vertices P(2,-1), Q(4,-2), R(4,-4) and S(2,-3)
6. c. Draw the image P1Q1R1S1 of quadrilateral PQRS under the reflection on the x-axis where P→P1, Q→Q1, R→R1, and S→S1
6. d. Draw the image P2Q2R2S2 of PQRS under a rotation through 180° about the origin where P→P2, Q→Q2, R→R2 and S→S2
6. e. Draw the image P3Q3R3S3 of quadrilateral PQRS under the enlargement with scale factor -2 about the origin. where P→P3, Q→Q3, R→R3 and S→S3
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