Lesson 1.02l

1.02l The modulus Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02l, The modulus: 20 multiple choice questions for the OCR Maths (H240), Unit 2: Algebra and Functions, written with Revision Ninja.

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The 20 questions

  1. What is the solution set for |x - 2| < 3?

    • 1 < x < 5
    • -3 < x < 3
    • -1 < x < 5
    • -5 < x < 1

  2. What are the solutions to |x| = 4?

    • x = 4 only
    • x = 4 or x = -4
    • x = 16 or x = -16
    • x = -4 only

  3. Solve |2x - 1| = 5.

    • x = 3 only
    • x = 3 or x = 2
    • x = 3 or x = -2
    • x = -3 or x = 2

  4. Solve |x + 2| > 1.

    • -3 < x < -1
    • x > 1 or x < -1
    • x < -3 or x > -1
    • x < -1 or x > 3

  5. Solve |x - 1| = |2x + 3|.

    • x = -2/3 or x = 4
    • x = -2/3 or x = -4
    • x = 4 only
    • x = 2/3 or x = 4

  6. Which relation is correct for real a?

    • sqrt(a^2) = a
    • sqrt(a^2) = -|a|
    • sqrt(a^2) = a^2
    • sqrt(a^2) = |a|

  7. What is |(-2)(3)|?

    • 5
    • 1
    • -6
    • 6

  8. Which set of real x satisfies |x - 5| <= 2?

    • 5 <= x <= 7
    • -7 <= x <= 3
    • 3 <= x <= 7
    • x <= 3 or x >= 7

  9. What is |a + b| when a = -3 and b = 5?

    • -2
    • -8
    • 2
    • 8

  10. Solve |x + 1| < |x - 3|.

    • x > 1
    • x < 3
    • x < 1
    • x < -1

  11. Which statement is always true for real x?

    • |x| = -x
    • |x| = x
    • |x| < 0 for negative x
    • |x| >= 0

  12. Solve |2x - 3| <= x.

    • 1 <= x <= 3
    • 1.5 <= x <= 3
    • x <= 1 or x >= 3
    • 0 <= x <= 3

  13. What is the minimum value of |x - 2| + 1?

    • -1
    • 0
    • 2
    • 1

  14. Solve |x| + |x - 1| = 3.

    • x = -1 or x = 1
    • x = -1 or x = 2
    • x = -2 or x = 1
    • x = 1 or x = 2

  15. How many real solutions does |x| = k have when k < 0?

    • 0
    • 1
    • 2
    • Infinitely many

  16. Solve |x^2 - 4| = 5 for real x.

    • x = 9 or x = -9
    • x = 3 or x = -1
    • x = 3 only
    • x = 3 or x = -3

  17. How many real solutions does |x - 1| = x - 2 have?

    • Infinitely many
    • None
    • One
    • Two

  18. Solve |3x + 1| = 2|x|.

    • x = -5 or x = -1
    • x = -1/5 only
    • x = -1/5 or x = -1
    • x = 1/5 or x = 1

  19. If |x - 4| = 3 has solutions p and q, what is p + q?

    • 7
    • 8
    • 12
    • 1

  20. Which inequality is equivalent to |x - a| < b, where b > 0?

    • a - b < x < b - a
    • a - b < x < a + b
    • -b < x < b
    • b - a < x < a + b

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