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Grade 10Curriculum · Maths

Grade 10 Math Worksheets — Free Printable

A ready-made mixed sheet for grade 10 at the top, and a practice pack below: quadratic functions and their zeros, quadratic equations, trigonometry in right triangles, systems of equations, factorising and powers.

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Exercise type
Mixed review of all areas
Grade
10 (ages 15–16)
Difficulty
Medium
Number of tasks
20
Task format
Mixed
Paper size
A4
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Topics on this worksheet

Areas on this sheet

  • Algebra · 7
  • Relationships and change · 1
  • Geometry · 1
  • Number sense · 1

Mixed review of all areas · Grade 10

Name: ____________________
1.

Find the zeros: y = x² − 7x + 12

2.

Expand: (3x + 8)(3x − 8)

3.

Find the adjacent side: hypotenuse 33 cm, angle 21° (1 decimal)

4.

Find the equation y = kx + m of the line through (2, 5) and (5, 17).

5.

Solve the equation: x² + 3x − 40 = 0

6.

Solve the system: 2x − 2y = −2 and 4x − 2y = −8

7.

Solve the system: 2x + 3y = −1 and −x − 3y = −1

8.

Distance between (2, 2) and (−4, −6) =

9.

Expand: (3x − 7)²

10.

Calculate: a⁵ · a² =

11.

Find the zeros: y = x² − 10x + 24

12.

Triangles ABC and DEF are similar: A matches D, B matches E and C matches F. So side AB matches DE and side BC matches EF. AB = 4 cm, DE = 12 cm and BC = 12 cm. Calculate EF.

13.

Find the adjacent side: hypotenuse 34 cm, angle 28° (1 decimal)

14.

Factorise: x² − 36

15.

Solve the equation: x² − 10x + 16 = 0

16.

Find the zeros: y = x² + 8x + 12

17.

Solve the system: x + 3y = 7 and −3x + 2y = 12

18.

Solve the equation: x² − 2x − 15 = 0

19.

Expand: (3x − 5)²

20.

Solve the equation: x² + 7x + 6 = 0

Answer key

  1. 1. x = 3, x = 4
  2. 2. 9x² − 64
  3. 3. 30.8 cm
  4. 4. y = 4x − 3
  5. 5. x₁ = −8, x₂ = 5
  6. 6. x = −3, y = −2
  7. 7. x = −2, y = 1
  8. 8. 10
  9. 9. 9x² − 42x + 49
  10. 10. a⁷
  11. 11. x = 4, x = 6
  12. 12. EF = 36 cm
  13. 13. 30 cm
  14. 14. (x + 6)(x − 6)
  15. 15. x₁ = 2, x₂ = 8
  16. 16. x = -6, x = -2
  17. 17. x = −2, y = 3
  18. 18. x₁ = −3, x₂ = 5
  19. 19. 9x² − 30x + 25
  20. 20. x₁ = −6, x₂ = −1

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More sheets for grade 10: Quadratic functions · Trigonometry · Exponential functions · Systems of equations · Powers & roots

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Open each sheet, print it with answers, and you have a full week of maths.

  1. 1. Quadratic functions
  2. 2. Trigonometry
  3. 3. Exponential functions
  4. 4. Systems of equations
  5. 5. Powers & roots
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What do students learn in grade 10 maths?
Typically quadratic functions and their zeros, quadratic equations, trigonometry in right triangles, systems of equations, factorising and powers.
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