Mental (12 questions)

Question 1 An academy hires 3, 52 seater coaches and 2 minibuses each which seats 16 people. How many people will the 3 coaches and 2 minibuses hold? people

Question 2 At a school concert they plan to serve 70 glasses of wine containing 60 ml, how many half litre bottles of wine do they need to buy? half litre bottles

Question 3 In a drama group of 56 children, 25% are selected to audition for lead roles in the end of year production. 6 of these children are boys. How many are girls? girls

Give your answer using the 24 hour clock. Question 4 On an inset day there is a morning session starting at 09:05 and due to last 85 mins followed by a 20 min break. The second session is due to run for 90 mins before a break for lunch. What time is the lunch break due to begin? Give your answer using the 24 hour clock. ____:____

Question 5 A French teacher sets 4 speaking tests to be completed by a year 10 class. Each test is marked out of 20. If a pupil gets 56 marks in total what is their mean score as a percentage? %

Question 6 In a year group of 128 pupils there are 16 prefects. What percentage of the year are prefects? %

Question 7 What is 52 ÷ by 0.5 ______

Question 8 A group of children travel to Italy on a ski trip. Taking an approximation that 5 miles is 8km, if the coach travels 184 km from the airport to the ski resort how many miles is this? miles

Question 9 200 Year 11 pupils in a school took GCSE Maths. The number of pupils gaining grade C or above increased from 65% in the mock exam to 77% in the actual exam. How many more pupils gained grade C or above in the actual exam than in the mock exam? pupils

How much money did the children’s charity receive? Question 10 A Year 11 group held a sponsored event and raised £95 for charity. They decided to split the money between 3 charities, the 1st supporting a children’s charity, the 2nd supporting an animal charity and the 3rd supporting an International charity in the ratio of 3:1:1 respectively. How much money did the children’s charity receive? £____

Question 11 At the school Easter concert , 420 programmes were sold costing £1.50 each. How much money was raised by selling the programmes? £____

Question 12 In Year 9 the number of pupils gaining L5 and L6 Maths was 108. If 27 pupils gained L6, what percentage gained L5? _____ %

ANNOTED ANSWERS Remember that there maybe several different methods to answering these questions. The methods shown are hopefully quick ways to calculate the answers but other methods are fine as long as they give correct answers and can be calculated within 18 seconds.

Question 1 An academy hires 3, 52 seater coaches and 2 minibuses each which seats 16 people. How many people will the 3 coaches and 2 minibuses hold? 3 x 52= 156 2 x 16 = 32 188 188 people + 188 people

70 x 60 = 4200 mls 4200 ÷ 500 = 42 ÷ 5 = 8 r2 8 bottles is not enough Question 2 At a school concert they plan to serve 70 glasses of wine containing 60 ml, how many half litre bottles of wine do they need to buy? 70 x 60 = 4200 mls 4200 ÷ 500 = 42 ÷ 5 = 8 r2 8 bottles is not enough 9 half litre bottles

Question 3 In a drama group of 56 children, 25% are selected to audition for lead roles in the end of year production. 6 of these children are boys. How many are girls? 25% of 56 = 56 ÷ 4 = 14 14 – 6 = 8 girls girls

Question 4 On an inset day there is a morning session starting at 09:05 and due to last 85 mins followed by a 20 min break. The second session is due to run for 90 mins before a break for lunch. What time is the lunch break due to begin? Give your answer using the 24 hour clock. 85 + 20 + 90 = 195 mins (knowing that 180 mins = 3 hrs is helpful) 09:05 + 3 hrs 15 mins 12:20 12 : 20

Question 5 A French teacher sets 4 speaking tests to be completed by a year 10 class. Each test is marked out of 20. If a pupil gets 56 marks in total what is their mean score as a percentage? 4 x 20 = 80 marks 56/80 = 7/10 = 70% 70% 70 %

Question 6 In a year group of 128 pupils there are 16 prefects. What percentage of the year are prefects? 16/128 = 8/64 = 1/8 1/8 = 12.5% 12.5% 12.5 %

52 ÷ 0.5 Is the same as 52 x 2 = 104 104 What is 52 ÷ by 0.5 Question 7 What is 52 ÷ by 0.5 52 ÷ 0.5 Is the same as 52 x 2 = 104 104

5 miles = 8 km = 184km 115 miles ? X 23 X 23 115 miles Question 8 A group of children travel to Italy on a ski trip. Taking an approximation that 5 miles is 8km, if the coach travels 184 km from the airport to the ski resort how many miles is this? 5 miles = 8 km = 184km 8) 184 X 23 X 23 115 miles ? 115 miles

77 – 65 = 12% 12% of 200 (or 200% of 12) = 24 24 pupils 24 pupils Question 9 200 Year 11 pupils in a school took GCSE Maths. The number of pupils gaining grade C or above increased from 65% in the mock exam to 77% in the actual exam. How many more pupils gained grade C or above in the actual exam than in the mock exam? 77 – 65 = 12% 12% of 200 (or 200% of 12) = 24 24 pupils 24 pupils

Children : Animal : International 3 : 1 : 1 Question 10 A Year 11 group held a sponsored event and raised £95 for charity. They decided to split the money between 3 charities, the 1st supporting a children’s charity, the 2nd supporting an animal charity and the 3rd supporting an International charity in the ratio of 3:1:1 respectively. How much money did the children’s charity receive? Children : Animal : International 3 : 1 : 1 (3 + 1 + 1 = split into 5 parts) 3 x £19 £95 ÷ 5 £19 £19 £19 £19 £19 £ 57

Question 11 At the school Easter concert , 420 programmes were sold costing £1.50 each. How much money was raised by selling the programmes? 420 x £1.50 Or 420 x £1 and half a £ 420 x £1 = £420 420 x half a £ = £210 = £630 + £ 630

108 – 27 = 81 pupils gaining L5 81 = 9 = 3 108 12 4 _75____ % Question 12 In Year 9 the number of pupils gaining L5 and L6 Maths was 108. If 27 pupils gained L6, what percentage gained L5? 108 – 27 = 81 pupils gaining L5 81 = 9 = 3 108 12 4 _75____ %