ABC Education · 11+ Practice
Week 57 · Maths Practice Paper
8 questions · 25 marks · Suggested time: 45 minutes.
Question 1
[2 marks]Amir wants to buy as many muffins as he can afford with a £15 note. Each muffin costs 90p. How much change will he receive?
Question 2
[3 marks]The full price of a laptop is £850. It is in a sale, and its price has been reduced by 28%. Leah is saving up to buy it. She already has £480. How much more money does she need?
Question 3
[3 marks]Priya eats a yoghurt every other day. She eats a banana every four days. Today is Wednesday. Yesterday, which was Tuesday, she ate both a yoghurt and a banana. How many times during the next 80 days does she eat both a yoghurt and a banana on the same day?
Question 4
[4 marks]150 pupils are sitting an exam. The pupils can choose whether to write in pen or pencil. Three-fifths of the pupils are girls. Two-thirds of the girls are writing in pen. One-quarter of the boys are writing in pen. How many pupils are writing in pencil?
Question 5
[3 marks]Oliver cuts a piece of card into a rectangle. The rectangle is three times as long as it is wide. The area of the rectangle is 147 cm². What is the perimeter of the rectangle?
Question 6
[3 marks]Zara and Leo play a game with nine cards numbered 1 to 9. They take turns picking up one card each, keeping all the cards they have picked. The winner is the first player who can make a total of 13 using exactly three of the cards in their hand. After several turns, Leo is holding the cards 2, 5, 9 and 6. Which three of Leo's cards can he use to win?
Question 7
[3 marks]A cinema sells adult tickets for £11.50 and child tickets for £6.75. A family buys 4 adult tickets and 3 child tickets, and pays with a £100 note. How much change do they receive?
Question 8
[4 marks]In a school, two-fifths of the students walk to school, a third of the remaining students cycle, and the rest — 72 students — come by bus. How many students are in the school altogether?