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Exam (elaborations)

Test (elaborations) Mathematics

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116 original exam-style questions and full answers, organised by term, covering high school maths from start to finish. It's good for tutors, schools and families with children in different grades.

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Grade 9 Mathematics Practice Pack




Grade 9 Mathematics Practice Pack
​Oct 14, 2026 · @Babalwa

This pack has 31 exam-style questions worth 166 marks, covering every Grade 9 topic
across terms 1 to 4, with full answers at the end.


How to Use This Pack
The questions are original and written in the style of Grade 9 end-of-term exams. They are
not reproductions of real papers. Attempt each section without the answers, then mark
yourself using the worked solutions at the end.

Show all working. Method marks (M) are given for a correct approach, accuracy marks
(A) for correct answers, and B marks for independent facts.
Give exact answers unless asked to round. Otherwise give answers to 3 significant
figures, or 1 decimal place for angles.
Calculators are allowed unless your teacher says otherwise. Set your calculator to
degrees for trigonometry.
Marks for each part are shown in square brackets, e.g. [3].

Every question is tagged Foundation, Core or Stretch. Start with the Foundation questions
(Q1, Q2, Q3, Q6, Q7, Q8, Q9, Q10, Q13, Q15, Q16, Q19, Q20, Q24, Q27, Q29). Move to Core
when you score about 75% on those. Stretch questions are Q18, Q23 and Q26.


Term-by-Term Map

Term Topics Questions Marks

Term 1 Fractions, percentages and ratio; indices and Q1 to Q9 49
standard form; factors and multiples; algebraic
expressions, factorising and formulae; linear
equations

Term 2 Inequalities; simultaneous equations; forming Q10 to Q18 48
equations; sequences; quadratic equations;
straight-line and quadratic graphs

Term 3 Angles and polygons; area, perimeter and volume; Q19 to Q26 42
circles and similarity; Pythagoras; trigonometry;
bearings




Page 1 of 11

, Grade 9 Mathematics Practice Pack




Term Topics Questions Marks

Term 4 Transformations; vectors; averages; probability; Q27 to Q31 27
frequency tables; full-pack revision


Sit each term's questions as a short paper at the end of that term, then the whole pack as
a mock exam.



Section A: Number (Term 1)
Question 1 [5 marks] · Foundation

(a) Work out 3/4 + 2/3. [2]

(b) Work out 2½ × 1⅕. [2]

(c) Write 0.35 as a fraction in its simplest form. [1]

Question 2 [6 marks] · Foundation

(a) Find 15% of 240. [1]

(b) Increase £80 by 12%. [2]

(c) A coat is reduced from £60 to £48. Find the percentage reduction. [2]

(d) Write 45 as a percentage of 180. [1]

Question 3 [5 marks] · Foundation

(a) Share £90 in the ratio 2 : 3 : 4. [3]

(b) Simplify the ratio 24 : 36. [1]

(c) 300 g of flour makes enough bread for 4 people. How much flour is needed for 10
people? [1]

Question 4 [6 marks] · Core

(a) Write 52 000 in standard form. [1]

(b) Write 0.0003 in standard form. [1]

(c) Simplify 3x² × 4x⁵. [1]

(d) Simplify x⁸ ÷ x³. [1]

(e) Evaluate 2⁻³. [1]

(f) Work out (4 × 10³) × (3 × 10⁵), giving your answer in standard form. [1]



Page 2 of 11

Document information

Schooljaar
201
Uploaded on
October 14, 2026
Number of pages
11
Written in
2026/2027
Type
Exam (elaborations)
Contains
Questions & answers
$8.33

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