CrackIt › WAEC › General Mathematics
WAEC General Mathematics objectives: free practice with solutions
WASSCE General Mathematics objectives cover number and numeration, algebra, mensuration, geometry and trigonometry, statistics and probability. CrackIt sets you a timed CBT-style objective paper, grades it A1 to F9 and shows a worked explanation for every question.
The WASSCE General Mathematics objective paper usually has 50 questions in about 90 minutes. Confirm the time on your own timetable.
CrackIt has 128 original General Mathematics questions across 23 syllabus topics (44 easy, 53 medium, 31 hard), each with an explanation in English and Pidgin.
5 free WAEC General Mathematics practice questions
Original questions from our bank, written to the syllabus. Tap “Show answer” to check yourself.
Q1. Number bases
Add 234five and 143five, giving your answer in base five.
- A433five
- B432five
- C342five
- D423five
Show answer
Answer: B. 432five
Convert to base ten: 234five = 2 × 25+3 × 5+4 = 69, and 143five = 1 × 25+4 × 5+3 = 48. Their sum is 117, which converts back to 432five since 4 × 25+3 × 5+2 = 117.
Pidgin: Change the two numbers to base ten: 234five na 69, 143five na 48. Add dem na 117. If you change 117 back to base five e go be 432five.
Q2. Fractions, decimals, approximations and standard form
Evaluate (3.6 x 10³) x (2.0 x 10⁻²), giving your answer in standard form.
- A7.2 x 10²
- B7.2 x 10⁻¹
- C7.2 x 10⁵
- D7.2 x 10¹
Show answer
Answer: D. 7.2 x 10¹
Multiply the numbers: 3.6 x 2.0 = 7.2. Add the powers of 10: 3 + (-2) = 1. So the answer is 7.2 x 10¹, which is 72.
Pidgin: Multiply the two numbers: 3.6 x 2.0 = 7.2. Add the powers: 3 + (-2) = 1. So answer na 7.2 x 10¹, wey be 72.
Q3. Indices and logarithms
Solve for x: 2ˣ⁺¹ = 32.
- A5
- B16
- C4
- D3
Show answer
Answer: C. 4
Write 32 as a power of 2: 32 = 2⁵. So 2ˣ⁺¹ = 2⁵ means x+1 = 5, giving x = 4.
Pidgin: Write 32 as power of 2: 32 = 2⁵. So 2ˣ⁺¹ = 2⁵ mean say x+1 = 5, so x = 4.
Q4. Sets and Venn diagrams
In a class of 50 students at Government Secondary School, Abeokuta, 32 students offer Mathematics, 28 offer Physics, and 15 offer both subjects. How many students offer neither Mathematics nor Physics?
- A3
- B8
- C5
- D10
Show answer
Answer: C. 5
Students offering at least one subject = 32 + 28 - 15 = 45 (using the union rule to avoid double counting the 15 who do both). So students offering neither = 50 - 45 = 5.
Pidgin: Students wey dey offer at least one subject = 32 + 28 - 15 = 45, because we no wan count di 15 wey do both subjects twice. So di ones wey no offer any = 50 - 45 = 5.
Q5. Ratio, proportion, rates and percentages
If the cost of 5 exercise books is ₦750, find the cost of 12 similar exercise books at the same rate.
- A₦2250
- B₦1800
- C₦1500
- D₦2000
Show answer
Answer: B. ₦1800
Cost per book = 750/5 = ₦150. Cost of 12 books = 150 x 12 = ₦1800. This is a direct proportion case.
Pidgin: One book cost na 750/5=₦150. For 12 books e go be 150x12=₦1800. Na direct proportion be dis.
Topics covered
- Number bases (6)
- Fractions, decimals, approximations and standard form (5)
- Indices and logarithms (6)
- Surds (6)
- Sets and Venn diagrams (6)
- Ratio, proportion, rates and percentages (6)
- Simple interest, compound interest and depreciation (5)
- Variation (6)
- Algebraic expressions, factorisation and change of subject (6)
- Linear and simultaneous equations (6)
- Quadratic equations (6)
- Linear inequalities (6)
- Sequences and series (6)
- Modular arithmetic (6)
- Logical reasoning (6)
- Mensuration: plane shapes (5)
- Mensuration: solids (5)
- Angles, polygons and circle theorems (6)
- Trigonometry, angles of elevation/depression and bearings (2)
- Coordinate geometry of straight lines (6)
- Statistics: mean, median, mode and frequency tables (4)
- Probability (6)
- Matrices and determinants (6)
How to score higher in General Mathematics
- Most university courses ask for a credit (C6 or better) in Mathematics. Track your grade in CrackIt and see how far you are from C6.
- Mensuration and statistics questions often reuse the same formulas. Write them on one card and practise with them every week.
- Time yourself: the objective paper is long, so aim for about one minute per question and come back to the hard ones.
Need five credits? CrackIt tracks your grade (A1 to F9) in every subject and plans each day until the exam.
Frequently asked questions
How many questions are in WAEC (WASSCE) General Mathematics?
The WASSCE General Mathematics objective paper usually has 50 questions in about 90 minutes. Confirm the time on your own timetable.
Are these real past questions?
No. CrackIt's 128 General Mathematics questions are original, written to the official WAEC syllabus, and each has a worked explanation. CrackIt is not affiliated with JAMB, WAEC or NECO.
Is CrackIt free and does it work offline?
Yes. Practice by topic, timed tests and the Daily 10 are free, and once the app has loaded it works without data.
Can I read the explanations in Pidgin?
Yes. Every General Mathematics explanations have a Pidgin version: tap “Pidgin” under the answer.