Mental Arithmetic Section - WordPress.com · 2015. 7. 2. · The first two sections each have a maximum score of 60 marks and the third section has a maximum score of 100 marks. The

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Mental Arithmetic Section This section of the test is made up of twelve mental arithmetic questions to be answered under timed conditions. Each question will be read twice and then you will have eighteen seconds to submit your answer. You will not be allowed to use a calculator for this section, but you are allowed the use of a whiteboard for your workings. Question 1 In a primary school of 300 children, 32% of the children are in the infants. How many children are in the infants? Question 2 A group of 5 students raise money for charity. The amounts raised were £3.40, £4.50, £6.55, £7.10, and £12. How much money was raised altogether? Question 3 What is 92 multiplied by 0.2?


Question 4 How many 1.5 metre pieces of wood are required for a class of 30 children to each cut a section measuring 40 centimetres? Question 5 To pass an exam, students need to achieve four sevenths of the available marks. If there were 91 marks available, what is the minimum score needed to pass the exam? Question 6 A school day is made up of 6 lessons, and in each lesson students are given homework that will take 15 minutes. What is the total amount of homework that students are given in a school week? Give your answer in hours and minutes. Question 7 Ring binders usually cost £3.50 each, but in a sale, a 10% discount is offered. What will be the total cost of eight ring binders?


Question 8 What is the average speed in kilometres per hour of a van that drives 25 kilometres in 20 minutes? Question 9 Dan scored 70% on an English test. If he scored 56 marks, what was the maximum possible score? Question 10 In a class of twenty-eight children, half of the children wrote two letters during a lesson, ten of the children wrote three letters and the rest of the children wrote four letters. How many letters were written altogether? Question 11 A project lasts for a total of 10 hours. If a teacher devotes 35 minutes of time each lesson to the project, how many lessons will be needed to complete the project?


Question 12 A teacher completes a forty mile journey in France. He is entitled to claim expenses of sixty cents per mile. If the exchange rate is seventy pence for each euro, how much can he claim in pounds and pence?


On-Screen Section This section of the test is made up of sixteen on-screen questions. You are allowed to use a calculator as well as your whiteboard to answer these questions. There are no time limits for the individual questions in this section, but the whole test (including the mental arithmetic section) has a time limit of 48 minutes, leaving around 36 minutes for this section. Question 1 This table shows the actual age and reading age of 5 children in years and months.

Name Actual Age Reading Age

Alfie 6 – 4 6 – 9

Ben 6 – 0 5 – 10

Christina 5 – 9 6 – 3

Dominic 5 – 11 5 – 11

Esme 6 – 6 6 – 8

Which child has a reading age that most surpasses their actual age?


Question 2 This table shows the actual age and reading age of 5 children in years and months.

Name Actual Age Reading Age

Alfie 6 – 4 6 – 9

Ben 6 – 0 5 – 10

Christina 5 – 9 6 – 3

Dominic 5 – 11 5 – 11

Esme 6 – 6 6 – 8

Over the following year, each of the children’s reading age improves.

• Alfie’s reading age improves by 11 months • Ben’s reading age improves by 15 months • Christina’s reading age improves by 10 months • Dominic’s reading age improves by 14 months • Esme’s reading age improves by 9 months

At the end of this year, what is the mean number of months by which the reading ages of the children exceed their actual ages?


Question 3 A primary school gave a group of children a mental arithmetic test and a spelling test. They plotted the results on a scatter graph.

What was the difference between the median scores for the two tests?

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Spelling Test


Question 4 A primary school gave a group of children a mental arithmetic test and a spelling test. They plotted the results on a scatter graph.

What was the range of scores for the mental arithmetic test?

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Question 5 In a school there were 171 students in year 11, and they were entered for higher and foundation tier Chemistry exams in the ratio 5:4. How many more students were entered for the higher tier than for the foundation tier?


Question 6 A group of year 8 students was asked to name their favourite type of T.V. show. The results are shown in a pie chart. There were 15 students that chose drama. How many students chose comedy?

Cartoon 39%

Comedy 32%

News 6%

Drama 12%

Other 11%


Question 7 As part of a trip to Europe, a teacher is planning a trip to see a play in a nearby town. The play starts at 19:45, and the teacher wants to arrive no later than 19:35. The theatre is 72km from where the group is staying. The teacher expects to travel at an average speed of 36 miles per hour. 5 miles = 8 kilometres. What is the latest time that the group can set off?


Question 8 A sixth-form college records the grades achieved by students in a Biology A-Level on a cumulative frequency graph.

Indicate all true statements:

• 20% of students achieved grade B or above. • The modal grade was C • Two thirds of students achieved grade C or above.

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Question 9 An English exam is made of three sections. The first two sections each have a maximum score of 60 marks and the third section has a maximum score of 100 marks. The weighting of the three sections is given below:

Section 1 Section 2 Section 3

15% 25% 60%

One student scored 36 marks on paper 1, 48 marks on paper 2, and 85 marks on paper 3. What was the student’s final weighted percentage score?


Question 10 The graph below shows the next step taken by cohorts of year 11 school leavers in 2013 and 2014.

How many more students did apprenticeships in 2014 than in 2013?

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Question 11 A school kept track of the number of days attended by students over two 12-week terms.

Student Term 1 Term 2

A 59 60

B 54 59

C 58 58

D 56 57

E 59 55

F 53 56

G 55 58

H 58 56

I 60 60

J 60 57

Which student(s)’ attendance improved by 5 or more percentage points from the first term to the second term?


Question 12 The percentage scores of 72 students in a piece of Media Studies coursework are represented in a box and whisker diagram.

0 10 20 30 40 50 60 70 80 90 100 Indicate all true statements:

• 36 students scored between 30% and 55% • 36 students scored between 35% and 65% • 36 students scored between 65% and 90%


Question 13 A school records the levels a group of students achieved at the end of Key Stage 2 in Maths, English and Science.

Subject Level 2 Level 3 Level 4 Level 5 Level 6

Maths 9 22 29 20 13

English 8 17 27 26 15

Science 11 19 33 30 0

Indicate all true statements:

• The modal level is the same for all three subjects • The range of levels is the same for all three subjects • The median level is the same for all three subjects


Question 14 A local authority recorded the percentage of EAL students at three local schools over a five-year period.

In which year was there the greatest total number of EAL students across all three schools?

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2010 2011 2012 2013 2014

Woodside School

Beachside School

Riverside School


Question 15 A school takes a group of 23 music students to see a classical concert. Hiring a coach costs £345. Admission to the concert is £12 per person. There is a discount on the admission price of 20% for groups of 15 or more people. Each student will need to take £3 to pay for food as part of the trip. What will be the total cost of the trip per person?


Question 16 The cost (£C) of a school trip can be worked out using the following formula (where n is the number of students on the trip):

C = 4n + 45

What would be the cost of taking 26 students on the trip?


Solutions Mental Arithmetic Section

1. 96 2. £33.55 3. 18.4 4. 10 5. 52 6. 7 hours, 30 minutes 7. £25.20 8. 75 9. 80 10. 74 11. 18 12. £16.80


Solutions On-Screen Section

1. Christina 2. 2 months 3. 4 4. 19 5. 19 6. 40 7. 18:20 8. Statements 2 & 3 9. 80% 10. 5 11. Students B, F & G 12. Statement 1 13. Statements 1 & 3 14. 2013 15. £27.60 16. £149

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Mental Arithmetic Section - WordPress.com · 2015. 7. 2. · The first two sections each have a maximum score of 60 marks and the third section has a maximum score of 100 marks. The