**NTC Numeracy Past Questions and Answers. **The *National Teaching Council (NTC)***Teacher Licensure Examination (GTLE**) for 2023 is set to begin. This post will walk you through some **past questions for the Numeracy** subject of the **NTC Examination**. Applicants interested in taking part in the NTC exams to become certified teachers are to visit the **NTC portal** to **register for NTC GTLE examination**.

## NTC Examination past questions for Numeracy

**Explore a list of past questions for the Ghana teacher licensure examination for the Numeracy subject; The NTC Numeracy paper is in two sections (ie A & B). **

### Ghana Teacher Licensure Examination – Numeracy Section A

**The Section A of the NTC Examination Numeracy Subject is made up of multiple choice answers where candidates are required to select the best answer from four(4) other alternatives.**

1. The number of rooms at Hotel G is **10 less than twice** the number of rooms at Hotel H. If the total number of rooms at both Hotels is 425, what is the number of rooms at Hotel G?

(a) 140

(b) 180

(c) 240

(d) 280

**True Answer: 280**

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2. Look at this Series; **14, 28, 20, 40, 32, 64**, …. What number should come next?

(a) 52

(b) 56

(c) 96

(d) 128

**True Answer: 56**

3. Look at this Series: 31, 29, 24, 22, 17, …. What number should come next?

(a) 15

(b) 14

(c) 13

(d) 12

**True Answer: 15**

4. In an election between 2 candidates, one got 55% of the total valid votes, and 20% of votes were invalid. If the total number of votes was 7500, what was the number of valid votes that the other candidate got?

(a) 2800

(b) 2700

(c) 3300

(d) 2500

**True Answer: 2700**

5. 4 adults consumed food costing $60 for 3 days. For the same food cost, what would be the cost of food consumed by 7 adults for 5 days?

(a) $300

(b) $175

(c) $105

(d) $100

**True Answer: $175**

6. Look at this Series; 22, 21, 23, 22, 24, 23, … What number should come next?

(a) 22

(b) 24

(c) 25

(d) 26

**True Answer: 25**

**Read Also: NTC Essential Skills Past Questions**

7. For this Series of alphanumeric fractions: A/2, B/4, C/6, D/8. ?, ?, What should be the next

fraction?

(a) E/8, F/10

(b) E/12, F/14

(c) E/10, F/12

(d) D/10, E/1

**True Answer: E/10, F/12**

8. Look at this Series: 7, 10, 8, 11, 9, 12, ….. What number should come next?

(a) 7

(b) 10

(c) 12

(d) 13

**True Answer: 10**

9. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work

(a) 24

(b) 22

(c) 18

(d) 12

**True Answer: 24**

10. 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

(a) 4

(b) 8

(c) 12

(d) 16

**True Answer: 16**

11. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

(a) 48

(b) 32

(c) 24

(d) 16

**True Answer: 48**

12. A P.E. teacher orders 30 new jerseys for the school football team. If each of the jersey cost GH 3.99, what is the total cost of these jerseys?

(a) GH 119.70

(b) GH 219.70

(c) GH 130.67

(d) GH 230.67

**True Answer: GH 119.70**

**Read Also: NTC Portal – National Teaching Council**

13. A store pays GH 82.95 for a microwave and marks the price up by 20%. What is the new price?

(a) GH 17.99

(b) GH 82.95

(c) GH 99.54

(d) GH 100.94

**True Answer: GH 99.54**

14. Of the following fractions, which of them is greater than 1/2?

(a) 2/1

(b) 4/7

(c) 4/9

(d) 5/11

**True Answer: 4/7**

15. In a class of 78 students. 41 are taking Journalism, and 22 are taking Public Relations. Of the students taking Journalism or Public Relations, 9 are taking both courses. How many students are not enrolled in either course?

(a) 6

(b) 15

(c) 24

(d) 33

**True Answer: 15**

16. In a class of 24 pupils, 4 need additional support. What fraction of the class in the lowest term needs additional support?

(a) 1/6

(b) 1/8

(c) 1/4

(d) 1/2

**True Answer: 1/6**

17. There are 3 apples and you take away 2. How many do you have?

(a) 1

(b) 2

(c) 3

(d) 4

**True Answer: 2**

18. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

(a) 90

(b) 95

(c) 100

(d) 105

**True Answer: 100**

19. If an object travels at five feet per second, how many feet does it travel in one hour

(a) 30

(b) 300

(c) 1800

(d) 18000

**True Answer: 18000**

20. Look at this Series; D-4, F-6, H-8, J10, ?, ?. What pair of letters/numbers should come next?

(a) K-12, M-13

(b) L-12, M-14

(c) L-12, N-14

(d) K-12, M-14

**True Answer: L-12, N-14**

21. Yaw, Kofi, and Ama shared the profit they earned in a month from a joint business in the ratio 2:4:3 respectively. If Ama and Kofi together got a total of GH 42.00. Find the profit earned in the month.

(a) GH 50.40

(b) GH 54.00

(c) GH 62.00

(d) GH 68.00

**True Answer: GH 54.00**

22. A woman bought 210 oranges for 65 Ghanaian Cedis. She sold all of them at 3 for 2 cedis. How much profit did she make?

(a) 35 cedis

(b) 45 cedis

(c) 65 cedis

(d) 75 cedis

**True Answer: 75 cedis**

23. Mark is 30 years old. Yaw is half as old as Mark. Paul is 10 years older than Yaw. How old is Paul?

(a) 30 years

(b) 25 years

(c) 20 years

(d) 15 years

**True Answer: 25 years**

24. If the ages of ten pregnant women in a maternity clinic are

26,23,24,27,26,21,22,25,23,23. Find the mean age.

(a) 34 years

(b) 14 years

(c) 23 years

(d) 24 years

**True Answer: 24 years**

25. A man has 6p sheep and 5q goats. He sells 3p sheep and 2q goats. How many animals are left after the sales?

(a) 3p – 3q

(b) 3p + 3q (c) 9p – 5q

(d) 9p + 9q

**True Answer: 3p + 3q**

26. Express 3m and 24cm in kilometers.

(a) 3.24 km

(b) 0.00324 km

(c) 0.324 km

(d) 32.4 km

**True Answer: 0.00324 km**

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27. A tank holds 240 litres of water. How much water is in the tank when it is full?

(a) 240 litres

(b) 192 litres

(c) 132 litres

(d) 60 litres

**True Answer : 192 litres**

28. The least number in a set of real numbers is greater than 24 and the highest is less than 30.

Which of the following is the best interpretation of this statement?

(a) 24 > x > 30

(b) 24 < x = 30

(c) 24 > x < 30

(d) 24 < x < 30

**True Answer: 24 < x < 30**

29. The sum of the ages of Kweku and Kojo is 30 years. Kweku is 4 years older than Kojo. How old

is Kojo?

(a) 19 years

(b) 17 years

(c) 13 years

(d) 11 years

**True Answer: 13 years**

30. Simplify – 27 + 18 – (10 – 14) – (-2).

(a) – 3

(b) – 7

(c) – 11

(d) – 35

**True Answer: – 3**

31. An amount of money was shared between Kofi and Ama in the ratio 3 : 5 respectively. If Ama received GHc 650.00, What was Kofi’s share?

(a) GHc 390.00

(b) GHc 550.00

(c) GHc 1040.00

(d) GHc 743.00

**True Answer: GHc 390.00**

32. Which of the following statements is TRUE about natural numbers?

(a) All prime numbers are odd

(b) Composite numbers have more than two divisors

(c) The sum of any two natural numbers is odd

(d) Even numbers are not divisible by 2

**True Answer: Composite numbers have more than two divisors**

33. A car left Nsawam at 9:45 am. It arrived in Kumasi in 3 hours and 17 minutes later. At what time

did the car arrive in Kumasi?

(a) 12 : 02 pm (b)

12 : 52 am

(c) 1 : 02 am

(d) 1 : 02 pm

**True Answer: 1 : 02 pm**

34. There are p boys and q girls in a classroom. Each person had 2 textbooks. Which of these expressions represents the total number of textbooks carried to the classroom?

(a) 2 (p + q)

(b) 2 + (p + q)

(c) 2p + q

(d) 2pq

**True Answer: 2 (p + q)**

35. How many degrees does a minute hand of a clock turn through from 6 : 20 am to 7 : 00 am the same day?

(a) 120 degrees

(b) 320 degrees

(c) 180 degrees

(d) 240 degrees

**True Answer: 240 degrees**

36. Mansah obtained 150 marks out of 240 marks in a Mathematics test. What was her percentage score?

(a) 33.33 %

(b) 36.50 %

(c) 41.67 %

(d) 62.50 %

**True Answer: 62.50 %**

37. What is the next tern in the pattern? 4 4 = 0,

4 – 3 = 1, 4 – 2 = 2, 4 – 1 = 3, 4 – 0

= 4, __ – __ = 5.

(a) 4 – ( – 1) = 5

(b) 4 – ( – 2) = 6

(c) 4 – 1 = 3

(d) 4 – 5 = -1

**True Answer: 4 – ( – 1) = 5**

38. It takes 15 men an average of 48 days to weed a plot of land. How many men can weed the same plot of land in 16 days, if they work at the same rate?

(a) 45

(b) 32

(c) 18

(d) 5

**True Answer: 45**

39. A company has 200 employees. Thirty-nine percent of them work in the machine room and 32% are engaged in the distribution of goods. How many of the employees are engaged in other duties apart from these two?

(a) 45

(b) 56

(c) 58

(d) 71

**True Answer: 58**

40. Six hundred copies of a book have to be packed into boxes. Each box can hold 15 books. Which one of the following operations could be used to find the number of boxes needed?

(a) Add 15 to 600

(b) Divide 600 by 15

(c) Multiply 600 by 15

(d) Subtract 15 from 600

**True Answer: Divide 600 by 15**

41. A boy used two-thirds of his weekly savings to buy a textbook. If he realized that he has GH 10.00 left, how much was the weekly savings?

(a) GH 20.00

(b) GH 30.00

(c) GH 40.00

(d) GH 60.00

**True Answer: GH 30.00**

42. Some pages in a book on a bookshelf are missing so page 21 is now followed immediately by page 43. How many pages are missing?

(a) 20

(b) 21

(c) 22

(d) 43

**True Answer: 22**

43. Eleven more than 2 times Jona’s age is equal to 59. How old is Jona?

(a) 23 years

(b) 24 years

(c) 67 years

(d) 35 years

**True Answer: 24 years**

44. Mr. Adaber bought three items priced at GH 65.50, GH 36.45, and GH 15.78. He paid with

three GH 50.00 notes. How much change did he receive?

(a) GH 32.27

(b) GH 32.73

(c) GH 33.27

(d) GH 33.73

**True Answer: GH 32.27**

45. Dora has a bag containing 3 blue tennis balls. Jennifer has a bag containing 2 black tennis balls. Their balls are all identical except for colours. The two girls put the balls in one bag. If a ball is picked at random from the bag, what is the probability that the ball is black?

(a) 1/10

(b) 1/5

(c) 2/5

(d) 3/5

**True Answer: 2/5**

46. If you take away the sum of 248.25 and 63.17 from 890.45, what is left?

(a) 579.03

(b) 589.03

(c) 589.13

(d) 689.03

**True Answer: 579.03**

47. The population of the two communities is 1.8705 x 106 and 9.00846 x 105. Calculate the total population of the two communities.

(a) 277,145

(b) 2,771,365

(c) 2,972,000

(d) 10,880,000

**True Answer: 2,771,365**

48. Dartey recorded a mean score of 24 on five tests. What should she score on the sixth test to bring her to mean score up to 26?

(a) 30

(b) 32

(c) 36

(d) 40

**True Answer: 36**

49. A school wants to fence its rectangular playing field measuring 118m by 92m with wire mesh. How many meters of wire mesh will be needed to complete the fencing?

(a) 200 m

(b) 410 m

(c) 420 m

(d) 440 m

**True Answer: 420 m**

50. If the population of a village increases by 97, it will reach at least 4,050 people. Which one of the following inequalities represents the statement correctly?

(a) P + 97 < 4,050

(b) P + 97 = < 4,050

(c) P + 97 = < 050

(d) P + 97 > 4,050

**True Answer : P + 97 = < 4,050**

### Ghana Teacher Licensure Examination – Numeracy Section B

**The Section B of the NTC Examination Numeracy Subject has a duration of 30 minutes. Candidates are not allowed during examinations. All correct answers are worth one (1) mark.**

**Question 1**

Teachers organized activities for three classes of 24 pupils and four classes of 26 pupils. What was the total number of pupils involved?

**Question 2**

As part of a science lesson, pupils were asked to stretch a spring to extend its length by 50 percent. The original length of the spring was 30 centimetres. What should be the length of the extended spring? Give your answer in centimetres.

**Question 3**

A parents’ evening was planned to start at 15:45. There were 20 consecutive appointments of 10 minutes each and a break of 15 minutes during the evening. At what time was the parents’ evening due to finish? Give your answer using the 24-hour clock.

**Question 4**

For a science experiment, a teacher needed 80 millilitres of vinegar for each pupil. There were 30 pupils

in the class. Vinegar comes in 1000 millilitre bottles. How many bottles of vinegar were needed?

**Question 5**

The morning session in a school began at 09:25. There were three lessons of 50 minutes each and one break of 20 minutes. At what time did the morning session end? Give your answer using the 24-hour clock.

**Question 6**

In a class of 24 pupils, 4 need additional support. What fraction of the class needs additional support? Give your answer in its lowest terms.

**Question 7**

What is 642 divided by 3?

Question 8

All 30 pupils in a class took part in a sponsored spell to raise money for charity. The pupils were expected to get an average of 14 spellings correct each. The average amount of sponsorship was 20 pence for each correct spelling.

How much money would the class expect to raise for charity altogether? Give your answer in pounds.

**Question 9**

Eight out of 25 pupils scored full marks on a test. What percentage of pupils scored full marks?

**Question 10**

A teacher took a group of pupils to an aquarium whilst visiting France. The total entrance cost for the group was 220 euros. Taking 1.10 euros as equal to 1 pound, what was the total entrance cost, in pounds, for the group of pupils?

**Question 11**

To inform her choice of reading materials a primary teacher looked at the spread of reading ages in her class. The scatter-graph shows the actual age and reading age of 21 pupils in the class. Use the information on the scatter-graph to help answer questions a) to c) below

a) What fraction of the class has a greater reading age than their actual age?

b) What is the age of the oldest pupil in the class?

c) What is the range of actual ages for the pupils in the class? Give your answer in months

**Question 12**

The graph below shows the teacher assessments for the percentage of pupils achieving Level 4 or

above at Key Stage 2 in a primary school.

Use the graph to decide which of the following statements are true for achievement at Level 4 or

above:-

A. The percentage of pupils achieving Level 4 or above in English has increased for each year

shown

B. In 2011, 77% of pupils achieved Level 4 or above in Maths

C. The median average percentage for Science achievement in this period is 77%

**Question 13**

A PE teacher orders 30 new bibs costing £3.99 each. What is the total cost of these bibs?

**Question 15**

At a staff meeting the Headteacher presented the following table, showing the number of pupils in each class in a school who are having Numeracy support lessons. What percentage of pupils in the school is having Numeracy support lessons? Class Number of pupils having Numeracy support lessons

P 24 4

V 26 3

T 26 2

M 24 2

**Question 16**

A school’s policy for Key Stage 2 was to set 3 hours of homework per week.

What was the mean average number of minutes to be spent on homework per weekday evening?

**Question 17**

A teacher is planning a trip to see a play in a nearby city. She has been given details of costs and

travel. There are 20 pupils in the group. Group booking for 20 theatre tickets costs £160, and return train

tickets cost £6 each.

How much will each pupil have to pay for the outing to cover the cost of travel and a theatre ticket?