G10 CORE MATH OPENER TERM 3 2026 MS (1)
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Word Editable SampleCORE MATHEMATICS GRADE 10
TERM 3 OPENER EXAM 2026
MARKING SCHEME
QUESTION 1 (Total: 6 marks)
(a) (i) √49 = 7 → Rational (R)[B1]
(ii) √11 → Irrational (I)[B1]
(iii) 0.75 = 3/4 → Rational (R)[B1]
(iv) π → Irrational (I)[B1]
(b) 2⅖ = 12/5. Reciprocal = 5/12[M1 A1]
Examiner's note: Accept equivalent fraction forms, e.g. 0.4166… is NOT acceptable as it is not "simplest fraction form" — award A1 only for 5/12.
QUESTION 2 (Total: 6 marks)
(a) (2³ × 2⁵) ÷ 2⁴ = 2^(3+5−4) = 2⁸⁻⁴... working: 2^(3+5) = 2⁸; 2⁸ ÷ 2⁴ = 2⁴ = 16[M1 A1]
(b) (x⁴y²)³ = x¹²y⁶; x¹²y⁶ ÷ x²y⁵ = x¹⁰y[M1 A1]
(c) 3^(2x−1) = 81 = 3⁴ → 2x − 1 = 4 → 2x = 5 → x = 2.5[M1 A1]
QUESTION 3 (Total: 7 marks)
(a) log₃ 81 = log₃ 3⁴ = 4[M1 A1]
This document is professionally prepared and verified for Grade 10 (Senior Secondary) • Term 3.
- Competency-driven teacher inquiry models
- Guiding questions for active learner engagement
- Real-life problem-solving applications
- Formative & summative assessment indicators
- Performance levels (Exceeding, Meeting, Approaching)
- Practical assessment task breakdowns