JAMB Mathematics · Number and Numeration

Number bases/Modular Arithmetic: JAMB Mathematics Past Questions and Answers

What the JAMB syllabus covers in Number bases/Modular Arithmetic

Our summary: Writing numbers in bases other than ten, and working with remainders after division.

  • Operations in different number bases from 2 to 10
  • Conversion from one base to another including fractional parts
  • Modular arithmetic

Objectives

  • Perform four basic operations (×,+,−,÷\times, +, -, \div)
  • Convert one base to another
  • Perform operations in modulo arithmetic

Syllabus content © The Joint Admissions and Matriculation Board (UTME).

JAMB Mathematics questions on Number bases/Modular Arithmetic

  1. JAMB 2025Convert 137 to base 5
  2. JAMB 2025If 54 ten = X four , find the value of X to 3 decimal point
  3. JAMB 2024Convert the number 10111.11 two to a mixed number.
  4. JAMB 2023Divide 1101001 two by 101 two
  5. JAMB 2023Find the value of y if 402 y = 102 ten
  6. JAMB 2022Evaluate (101 two )^3
  7. JAMB 2020Evaluate (212) 3 - (121) 3 + (222) 3
  8. JAMB 2018Calculate 243 six – 243 five expressing your answer in base 10
  9. JAMB 2018if y = 23 five + 101 three find y leaving your answer in base two
  10. JAMB 2018Add 54 eight and 67 eight giving your answers in base eight
  11. JAMB 2018If y = 23 five + 101 three , find y, leaving your answer in base two
  12. JAMB 2015Find x if 132x = 70 eight.
  13. JAMB 2015100112 + 2 + 111002 + 1012 = 10011112
  14. JAMB 2014Find the value of 1101112 + 101002
  15. JAMB 2013Convert 2710 to another number in base three
  16. JAMB 2012Convert 112 6 to a number in base three
  17. JAMB 2010Find r, if 6r7 8 = 511 9

Years with Number bases/Modular Arithmetic questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2025
  • 2024
  • 2023
  • 2022
  • 2020
  • 2018
  • 2015
  • 2014
  • 2013
  • 2012
  • 2010