Grade 11 Maths · Number Patterns, Sequences and Series · Paper 1

Number Patterns Grade 11

Real Number Patterns past paper questions and answers from 2015 to 2025, with each memo split into the ticks examiners give. Try one, mark yourself, and see exactly which skill cost you marks.

past paper questions: 45 past paper questions
skills: 6 skills
videos: 6 videos

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Question 3.3 · June 2024 · Paper 1 · Provincial · 2 marks

Given the number pattern:

4; - 3; - 10; \dots; - 227

3.3 Calculate the number of terms of the pattern.(2)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

Number Patterns skills

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More Number Patterns Grade 11 questions and answers

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4. Question 3.1.1 · November 2025 · Paper 1 · Provincial · 2 marks
3.1 Consider the following linear number pattern: $5, 5; 5, 0; 4, 5; ...$
3.1.1 Write down the next TWO terms in the number pattern.(2)
Show the memo (2 ticks)Memo
1. ✓
  Fourth term $d = - 0, 5$
  $4$
  1 mark · Continue a number pattern
2. ✓
  Fifth term $3, 5$
  1 mark · Continue a number pattern
5. Question 4.1.1 · November 2025 · Paper 1 · Provincial · 2 marks
4.1 Given the $n^{t h}$ term of the quadratic number pattern: $T_{n} = n^{2} - 12 n + k$
4.1.1 If $T_{62} = 3132$ , determine the value of $k$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Substitution $3132 = (62)^{2} - 12 (62) + k$
  1 mark · Use a quadratic general term
2. ✓
  Answer $3132 = 3844 - 744 + k$
  $k = 32$
  1 mark · Use a quadratic general term
6. Question 3.1.1 · November 2024 · Paper 1 · Provincial · 2 marks
3.1 Consider the linear number pattern: $- 5$ ; $- 9$ ; $- 13$ ; …

Answer the questions that follow.
3.1.1 Write down the next TWO terms of the pattern.(2)
Show the memo (2 ticks)Memo
1. ✓
  Fourth term $- 17$
  1 mark · Continue a number pattern
2. ✓
  Fifth term $- 21$
  1 mark · Continue a number pattern
7. Question 3.1.1 · November 2023 · Paper 1 · Provincial · 2 marks
3.1 Given the linear number pattern: $17; 14; 11; \dots; - 247$
3.1.1 Write down the fourth and fifth terms of the number pattern.(2)
Show the memo (2 ticks)Memo
1. ✓
  Fourth term $8$
  1 mark · Continue a number pattern
2. ✓
  Fifth term $5$
  1 mark · Continue a number pattern
8. Question 4.1.1 · November 2023 · Paper 1 · Provincial · 2 marks
4.1 Given the quadratic number pattern: $94; 90; 82; 70; \dots$
4.1.1 Determine the next two terms of the number pattern.(2)
Show the memo (2 ticks)Memo
1. ✓
  $54$ First differences: $- 4; - 8; - 12$
  Second difference: $- 4$
  Next first difference $- 16$ : $70 - 16 = 54$
  1 mark · Continue a number pattern
2. ✓
  $34$ $54 - 20 = 34$
  1 mark · Continue a number pattern
9. Question 3.1.1 · March 2018 · Provincial · 2 marks
3.1 Consider the following quadratic number pattern: $64; 42; 24; ...$
3.1.1 Write down the next TWO terms of the number pattern.(2)
Show the memo (1 tick)Memo
1. ✓
  Determine differencesFirst diffs: $- 22; - 18$
  Second diff: $4$
  Next first diffs: $- 14; - 10$
  Terms: $24 - 14 = 10$ and $10 - 10 = 0$
  2 marks · Continue a number pattern
10. Question 3.1 · March 2015 · Provincial · 2 marks
Given the quadratic sequence: 4; 7; 14; 25; m
3.1 Write down the value of m.(2)
Show the memo (1 tick)Memo
1. ✓
  Determine patternFirst diffs: 3; 7; 11
  Second diffs: 4; 4
  Next first diff: $11 + 4 = 15$
  $m = 25 + 15 = 40$
  2 marks · Continue a number pattern

Number Patterns Grade 11 videos

Short lessons from South African teachers first. Videos load only when you tap play, to save your data.

Determine the rule of a numeric pattern grade 9 mathematicsALRI PRINSLOO

Gr 12 Maths - Sequences and Series - 12 - Combined SequencesJuniorTukkie at the University of Pretoria

Quadratic number patterns grade 11: introduction and examplesKevinmathscience

Quadratic Pattern Grade 11: ExamKevinmathscience

number pattern... between which two consecutive terms is the first difference....Kasi Maths - (Mr Sjumba)

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