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About this video
Grade 8 Mathematics Paper 1, November 2023 (Eastern Cape) worked through: number sense, integers with powers and roots, exponents and scientific notation, ratio, percentages, speed, number patterns and the general term, and algebra — expressions, substitution and equations.
What it covers
- Ordering decimals, primes and equivalent fractions
- Integers with powers and roots: −7² is not (−7)²
- Scientific notation; the zero exponent
- Percentages, and time from distance = speed × time
- Patterns: the next terms and the general term
- Algebra words: term, coefficient, constant, degree
- Adding and subtracting expressions; equations by inverse operations
Extra worked examples
✍️ Extra example: calculate −5² + (−3)³ + √49
- 1−5² = −25The square is on the 5 only — there is no bracket.
- 2(−3)³ = −27The bracket means −3 × −3 × −3.
- 3√49 = 77 × 7 = 49.
- 4−25 − 27 + 7 = −45Now work from left to right.
✍️ Extra example: subtract 3a − 2b + c from 7a + 4b − 2c
- 1(7a + 4b − 2c) − (3a − 2b + c)Start with what comes AFTER the word 'from'.
- 27a + 4b − 2c − 3a + 2b − cThe minus in front of the bracket changes every sign inside it.
- 34a + 6b − 3cCollect the like terms.
Exercises to try
Work each one out, then click to reveal the answer.
- 1Write 3,05 × 106 as an ordinary number.
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3 050 000 — move the comma 6 places to the right - 2A pattern is 5; 9; 13; 17; … Find the general term and T10.
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d = 4 and c = 5 − 4 = 1, so Tn = 4n + 1; T10 = 41 - 3For 4x³ − 7x² + x − 9, give the number of terms, the coefficient of x², the constant and the degree.
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4 terms; the coefficient is −7; the constant is −9; the degree is 3 - 4Substitute x = −2 into 3x² − 4x + 1.
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3(−2)² − 4(−2) + 1 = 12 + 8 + 1 = 21 — substitute in brackets - 5Solve 4(x − 2) = 2x + 6.
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4x − 8 = 2x + 6 → 2x = 14 → x = 7
Practise this topic
Download matching Grade 8 papers and worksheets.
