Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 6
104 practice questions
Topics covered
Practice questions
21–30 of 38 · Easy
Question 21
1 mark · Easy
Answer and check →Chords AP and BP intersect inside a circle at point P. If AP = 4 cm, BP = 6 cm, and CP = 8 cm, find DP.
Question 22
1 mark · Easy
Answer and check →In a circle, points A, B, C, D lie on the circumference. Angle ABC = 80°. Find angle CDA. Give a reason for your answer.
Question 23
1 mark · Easy
Answer and check →In the circle below, O is the centre. The distance from O to the chord AB is 5 cm. The radius of the circle is 13 cm. Find the length of the chord AB.
O is centre; OM = 5 cm, OA = 13 cm. Find AB. Question 24
1 mark · Easy
Answer and see the solution →Name the theorem that states, “The angle in a semicircle is a right angle.”
Question 25
1 mark · Easy
Answer and check →Which of the following statements is always true for any cyclic quadrilateral?
- A.Opposite angles add up to 90°
- B.Opposite angles add up to 180°
- C.All sides are equal
- D.All angles are equal
Question 26
1 mark · Easy
Answer and see the solution →List the members of the set {prime numbers less than 15}.
Question 27
1 mark · Easy
Answer and check →Which of the following is the empty set?
- A.{x : x is an odd number divisible by 2}
- B.{1, 3, 5}
- C.{x : x < 5, x ∈ ℕ}
- D.{a, b, c}
Question 28
3 marks · Easy
Answer and see the solution →The universal set is S = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let A = {1, 3, 5, 7, 9} and B = {3, 4, 5, 6}.
(a)[1 mark]List the set A ∩ B.
(b)[1 mark]Find n(A ∪ B).
(c)[1 mark]List the set (A ∪ B)′.
Question 29
3 marks · Easy
Answer and see the solution →Write these sets using set-builder notation:
(a)[1 mark]The set of natural numbers greater than 6.
(b)[1 mark]The set of all even numbers.
(c)[1 mark]The set of integers between −2 and 3 (inclusive).
Question 30
2 marks · Easy
Answer and see the solution →In a group of 25 students, 15 play football, 12 play basketball, and 5 play both sports. How many students play neither football nor basketball?