Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 4
104 practice questions
Topics covered
Practice questions
91–100 of 104
Question 91
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 92
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 93
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 94
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 .
Question 95
6 marks · Normal
Answer and see the solution →1. Rajiv invests £2500 at 4% compound interest per annum. After 3 years, he decides to use the total amount to build a rectangular flowerbed. The width of the flowerbed is 1.5 m and its length is twice the width.
(a)[2 marks]Calculate the value of Rajiv's investment after 3 years. Give your answer to the nearest pound.
(b)[2 marks]He decides to spend the entire amount on fencing the four sides of the flowerbed. The fencing costs £50 per metre. Work out the length of fencing Rajiv can buy, and state whether this is more or less than the perimeter of his planned flowerbed.
(c)[2 marks]Find the area of the flowerbed in square metres.
Question 96
6 marks · Normal
Answer and see the solution →5. Saira is baking cupcakes for a charity sale. Each cupcake sells for £2. She expects the sale to raise £180. However, due to a last minute change, a 15% discount is applied to all cupcakes.
(a)[1 mark]How many cupcakes does Saira originally plan to sell?
(b)[2 marks]What is the price of each cupcake after the discount?
(c)[2 marks]How much money will she actually raise if she sells the same number of cupcakes at the new discounted price?
(d)[1 mark]If she wants to raise exactly £180 after the discount, how many cupcakes must she sell? Round your answer to the nearest whole number.
Question 97
6 marks · Normal
Answer and see the solution →A garden centre increases the price of a decorative plant by 6% each year. Meanwhile, the area of land for these plants is calculated using a formula.
The plant originally costs $15. The land forms a rectangle with length 8 m and width 5 m.
(a)[3 marks]Calculate the price of the plant after 3 years. Give your answer correct to 2 decimal places.
(b)[1 mark]Write an algebraic expression for the area A of the rectangular land in terms of its length l and width w.
(c)[2 marks]Calculate the area of the land using the formula you wrote in (b).
Question 98
5 marks · Normal
Answer and see the solution →A student buys a computer for $1200. The value of the computer depreciates by 10% per year. The computer's manufacturer displays this depreciation over time using a graph.
(a)[2 marks]Calculate the value of the computer after 2 years. Give your answer to the nearest dollar.
(b)[1 mark]Write the formula the manufacturer could use to display the value V (in dollars) of the computer after t years, starting from $1200.
(c)[2 marks]On the axes below, sketch the graph of V against t for 0≤t≤4, showing the value at t = 0, 2, and 4 years. Label your axes.
Value of computer vs. time Question 99
6 marks · Normal
Answer and see the solution →A mobile phone contract offers a monthly price of £p, where p is calculated based on the formula p = 25 + 8n, with n the number of gigabytes of data used in a month.
A user receives a 20% discount on their total cost due to a special promotion.
(a)[1 mark]Express the formula for p in terms of n.
(b)[1 mark]Calculate the total price for a month if 6 GB of data are used.
(c)[2 marks]Calculate the price the user will pay after the 20% discount.
(d)[2 marks]Show how you calculated your answer to part (c).
Question 100
5 marks · Normal
Answer and see the solution →A market stall sells apples. On Monday, the price of a bag of apples is increased by 8%. At the end of the week, a graph is used to display the number of bags sold each day.
(a)[2 marks]The price of a bag is $2.50 before the increase. Calculate the new price after the 8% increase.
(b)[3 marks]Over the week, these numbers of bags are sold: 14, 17, 20, 13, 16, 11, 9.
Find the median and range of the number of bags sold per day.