Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 4
104 practice questions
Topics covered
Practice questions
31–37 of 37 · Easy
Question 31
2 marks · Easy
Answer and see the solution →The table shows the colours of balls in a box.
Colours of balls in a box Colour Number Red 6 Blue 3 Green 1 One ball is taken at random from the box. Calculate the probability that the ball is red.
Question 32
4 marks · Easy
Answer and see the solution →A music store holds a sale and reduces the price of a guitar by 20%. The original price was $180.
(a)[2 marks]Calculate the sale price of the guitar after the 20% reduction.
(b)[2 marks]A formula used in the store is , where is the current price, is the original price, and is the discount. Use this formula to find the value of in this case.
Question 33
4 marks · Easy
Answer and see the solution →A triangle has base cm and height cm. Its area is used to create a bar chart showing the frequencies of different shapes made by students.
(a)[2 marks]Calculate the area of the triangle.
(b)[2 marks]In the bar chart, the frequency for triangles is 9, rectangles 5, and circles 6. What is the mean number of shapes per type?
Question 34
4 marks · Easy
Answer and see the solution →The function predicts the height of a flower (in cm) after weeks.
(a)[2 marks]Find the height of the flower after 5 weeks.
(b)[2 marks]On a graph, what is the gradient of the line representing this function?
Question 35
4 marks · Easy
Answer and see the solution →A pizza shop receives 40, 55, 38, 62, and 45 phone orders each day from Monday to Friday.
(a)[2 marks]What is the median number of phone orders over the week?
(b)[2 marks]Write the range of daily phone orders.
Question 36
4 marks · Easy
Answer and see the solution →A straight road runs from point A to B, 500 m away. A tree is planted at point C, which is exactly 300 m from A along the road.
(a)[1 mark]Write down the length of AC.
(b)[1 mark]Calculate the distance from B to C.
(c)[2 marks]If a right-angled triangle is formed at C with the other vertex D, such that DC = 400 m and angle CAD = 90°, use Pythagoras’ theorem to calculate the length of DA.
Question 37
4 marks · Easy
Answer and see the solution →A student wants to convert 0.72 to a fraction and then use this value in a substitution problem.
(a)[2 marks]Express 0.72 as a fraction in its simplest form.
(b)[2 marks]In the equation , substitute and find the value of .