2023 NTC Exams: Likely Mathematics(SHS) Questions And Answers

The 2023 Teacher Licensure Examination(NTC Exams) will begin on 13th September, 2023. Here are some likely Mathematics (SHS) questions and answers for candidates
1. Which of the following is a unit rate?
A. 10 miles in 2 hours
B. Gh₵25 for 5 items
C. 3 gallons of gas for Gh₵10
D. 100 pages in 4 hours
2. What does it mean to write?
A. Limit as x approaches 2 from the left
B. Limit as x approaches 2 from the right
C. The 2 must be added to the 3 to get the limit
D. Equate the x+3 to the 2
3. In a data set with an even number of observations, how is the median calculated?
A. The value that appears most frequently
B. The average of the two middle values
C. The middle value is used as the median
D. The sum of all values divided by 2
4. A student took the dimensions of a triangle and realized that they are Pythagorean triples. Which of the following triangles is NOT likely to be the triangle?
A. Equilateral triangle
B. Isosceles triangle
C. Obtuse angled triangle
D. Scalene triangle
Structure Of 2023 Subject Based Ghana Teacher Licensure Examination
5. Find the magnitude of the resultant of the forces F1=(3i-4j)N, F=(2i+6j)N and F3 =(-i+j).
A. 4N
B. 5N
C. 6N
D. 7N
6. An NGO wants to build a school facility to serve learners of school-going age in two farming communities, Donkoso and Paamu. The communities are located at the points (-4,-3) and (-5,1) respectively. If the school is to be located at the point C(x,y) such that learners from both communities will walk equal distance to the school, find the relation between the point C and the two communities.
A. 2x+8y+1=0
B. 2x+8y-1=0
C. 2x-8y-1=0
D. 2x-8y+1=0
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7. A landlord increases his rent yearly by Gh₵2000.00. A company director paid Gh₵8000.00 in the first year. What is the total rent to be paid by the director after 12 years?
A. Gh₵108,000.00
B. Gh₵118,000.00
C. Gh₵30,000.00
D. Gh₵98,000.00
8. The distance around a rectangular field is the same as that of a circular track. If the dimensions of the field are 38 m by 50 m, calculate the land area of the circular track. [Take π=22/7]
A. 2264 m2
B. 2464 m2
C. 2664 m2
D. 2864 m2
9. If the price of fuel is increased by 50% by what fraction must a car’s consumption be reduced so as to keep the same expenditure on its fuel consumption?
A. 1/4
B 1/3
C. 1/2
D. 2/3
10. The speed v ms^1 of a body moving in a straight line from a point O in the time t seconds is given by v=24t-3t^2. Calculate the distance from O at the end of 3 seconds.
A. 25m
B. 32m
C. 43m
D. 81m
ANSWERS
1. C
2. B
3. B
4. A
5. B
6. D
7. C
8. B
9. B
10. D