Tawjihi (Palestinian General Secondary Examination), Scientific Stream · Mathematics

Geometry, Trigonometry, Sequences and Probability

21 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 21 questions

  1. A right triangle has legs of 6 cm and 8 cm. What is the hypotenuse?
  2. What is the value of sin 30°?
  3. What is the area of a circle of radius 7 cm?
  4. An arithmetic sequence has first term 3 and common difference 4. What is the 10th term?
  5. What is the sum of the first 10 terms of 3, 7, 11, ...?
  6. In a geometric sequence 2, 6, 18, ..., what is the next term?
  7. What is the sum to infinity of the geometric series 8 + 4 + 2 + ...?
  8. If sin θ = 3/5 and θ is acute, what is cos θ?
  9. Solve 2 sin x = 1 for 0° ≤ x ≤ 360°.
  10. Two fair coins are tossed. What is the probability of two heads?
  11. How many different arrangements are there of the four letters in MATH?
  12. Evaluate the combination C(5, 2).
  13. A bag holds 3 red and 2 blue balls. Two are drawn without replacement. What is P(both red)?
  14. What is the mean of 4, 8, 10 and 14?
  15. What is the distance between the points (1, 2) and (4, 6)?
  16. What is the midpoint of the points (2, −4) and (8, 6)?
  17. Which equation describes the circle with centre (1, −2) and radius 3?
  18. What is the volume of a cylinder with radius 3 cm and height 5 cm?
  19. Two sides of a triangle are 7 cm and 8 cm with a 60° angle between them. What is the third side?
  20. What is the sum of the interior angles of a hexagon?
  21. Convert 135° to radians.

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