Ghana Teacher Licensure Examination · Numeracy

Number Operations, Proportions and Pre-algebra

35 practice questions, each with the answer and an explanation.

Practise Number Operations, Proportions and Pre-algebra now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 35 questions

  1. A school received a capitation grant of GH₵ 24,000. If 3/8 was spent on teaching learning materials, how much was spent on TLMs?
  2. In a school of 600 students, the ratio of boys to girls is 7 : 5. How many girls are enrolled in the school?
  3. A teacher earns a gross monthly salary of GH₵ 3,200. If 5.5% is deducted for SSNIT pension, what is the SSNIT deduction?
  4. The pass rate in an annual district exam rose from 64% to 80%. What was the percentage increase in the pass rate?
  5. Solve for k in the proportional equation: 3 / 7 = k / 56.
  6. If 12 teachers can complete grading an exam cohort in 6 hours, how many hours will 9 teachers take at the same rate?
  7. A textbook has a cost price of GH₵ 45.00. If the school bookshop sells it at a markup of 20%, what is the selling price?
  8. An examination score of 68 out of 80 is equivalent to what percentage?
  9. Evaluate the arithmetic operation: 4.5 10^3 + 2.3 10^4 in scientific notation.
  10. Solve for x in the algebraic equation: 4(x - 3) + 2 = 2x + 8.
  11. A school water reservoir of 15,000 litres loses 4% of its volume daily to evaporation during the dry season. How many litres evaporate on day 1?
  12. If 5 boxes of chalk contain 250 sticks in total, how many boxes are needed to provide 800 sticks?
  13. What is the simple interest on a personal education loan of GH₵ 5,000 borrowed at 12% per annum for 18 months?
  14. A teacher invests GH₵ 2,000 in a savings cooperative yielding 10% compound interest compounded annually. What is the total value after 2 years?
  15. In a diagnostic test, 72 out of 90 students achieved benchmark mastery. What percentage achieved benchmark mastery?
  16. Evaluate: 3/5 + 1/2 - 1/4.
  17. Simplify the algebraic fraction: (2x^2 + 4x) / (2x).
  18. If 3a + 2b = 18 and a = 4, what is the value of b?
  19. A school generator consumes 2.5 litres of diesel per hour of operation. How many litres are required for 14 hours of continuous running?
  20. What is the value of the algebraic expression 3x^2 - 5x + 4 when x = -2?
  21. A committee of 5 members is to be formed from 8 available teachers. How many different combinations are possible?
  22. If 20% of a class of 45 students walk to school, how many students do NOT walk to school?
  23. Find the value of y if 2^(y + 1) = 64.
  24. In an election for school staff representative, candidate A received 45 votes and candidate B received 30 votes. What fraction of total votes did candidate A receive?
  25. What is the greatest integer value of x satisfying the inequality: 3x - 5 < 16?
  26. A contractor estimated that a classroom block would take 60 days to build with 15 workers. If only 10 workers are hired, how many days will the construction take?
  27. The sum of the digits of a two-digit number is 9. If the tens digit is twice the units digit, what is the number?
  28. Solve for p: 2p/5 - 3 = 7.
  29. Convert 0.625 into a percentage.
  30. A school library bought 120 books. If 45 are English, 35 are Science, and the remainder are Social Studies, what percentage are Social Studies?
  31. What is the prime factorization of 360 expressed in index form?
  32. If x : y = 3 : 4 and y : z = 8 : 9, find the unified ratio x : z in its simplest form.
  33. If 4 artisans require a six-hour period to paint 3 classrooms, how much time will 8 artisans take to paint 6 classrooms at the same working rate?
  34. Evaluate: 15 - 3 * (4 - 2) + 8 ÷ 2.
  35. A school fees invoice of GH₵ 840 was paid in three installments of 2/7, 3/7, and the rest. What was the amount of the final installment?

Keep practising

More Ghana Teacher Licensure Examination topics

All Ghana Teacher Licensure Examination practice →

Ready for the full Ghana Teacher Licensure Examination test?

Take a mock testGhana Teacher Licensure Examination hub
Number Operations, Proportions and Pre-algebra | GetMyMockTest