## About us

Hi. I’m Adrian Beckett. I’ve been helping trainee teachers pass the TDA QTS Skills Test for the last 4 years. I also run a small agency which finds QTS Skills Test tutors for students in the UK. I’m very proud to say we have a 100% success rate and we’ve helped 54 students pass. Our goal is to help budding teachers to pass the test and become confident in Maths.

Here are some practice questions to help you improve your mental arithmetic. These are some of the most commonly asked questions in the online practice tests and from the Passing the Numeracy Skills test book. Each type of question comes with a tip.

### To get the answers or get a tutor contact me

## Fractions to Percentages – Type 1

*Find the percentage for each fraction. You are trying to get 10 or 100 on the bottom of your fraction*

1) A pupil scores 20 marks out of a possible 50

2) A pupil scores 16 marks out of a possible 40

3) A pupil scores 30 marks out of a possible 50

4) A pupil scores 49 marks out of a possible 70

5) A pupil scores 24 marks out of a possible 60

**Fractions to Percentages – Type 2**

*Find the percentage for each fraction. You need to recognise the fractions 1/4, 1/2 and 1/8 and find the corresponding percentages.*

1) A pupil scores 7 out of a possible 28?

2) A pupil scores 24 out of a possible 48?

3) A pupil scores 12 out of possible 24

4) A pupil scores 27 out of a possible 36?

5) A pupil scores 7 out of a possible 28?

**Fractions to Percentages – Type 3**

*Find the percentage for each fraction. You need to get 100 on the bottom of the fraction.*

1) A pupil scores 7 out of a possible 20?

2) A pupil scores 18 out of a possible 25?

3) A pupil scores 7 out of a possible 10

4) A pupil scores 9 out of a possible 20?

5) A pupil scores 18 out of a possible 25?

## Multiplying 3 numbers involving money

*How much money in £ is raised? Remember 100 pennies in a £ and don’t think about decimals. To find your answer in £ divide by 100.*

1) 20 x 30 x 5p

2) 40 x 500 x 7p

3) 30 x 400 x 6p

4) 50 x 40 x 8p

5) 60 x 20 x 9p

## Division with 1 digit

*Remember that you need an extra table if there are some children without a table – they can’t sit on the floor or go home (even if you’d like them too). You can use mental chunking or short division*

1) Dining tables seat 7 children. How many tables are needed to seat one hundred children?

2) Dining tables seat 6 children. How many tables are needed to seat ninety children?

3) Dining tables seat 5 children. How many tables are need to seat 78 children?

4) Dining tables seat 9 children. How many tables are needed to seat 120 children?

5) Dining tables seat 6 children. How many tables are needed to seat 75 children?

## Division with 2 digit

*You are best to use mental chunking for 2 digit and not short division (and definitely not long division). Remember that if you have people left over you need an extra row (they can’t sit on your lap)*

1) It is possible to seat forty people in a row across the hall. How many rows are needed to seat four hundred and thirty-two people?

2) It is possible to seat thirty two people in a row across the hall. How many rows are needed to seat three hundred and forty people?

3) It is possible to seat sixty four people in a row across the hall. How many rows are needed to six hundred and sixty three people?

4) It is possible to seat twenty eighty people in a row across the hall. how many rows are needed to seat four hundred and thirty eight people?

5) It is possible to seat forty two people in a row across the hall. How many rows are needed to seat three hundred and seventy nine people?

## Percentages to Fractions

*A test has ……..questions, each worth one mark. The pass mark was ……per cent. How many questions had to be answered correctly to pass the test? Find 10% first*

1) ?/30 = 40%

2) ?/40 = 70%

3) ?/50 = 90%

4) ?/80 = 70%

5) ?/30 = 60%

## Ratio – distance

*These questions don’t make sense because of course 9km is not 4 miles but they are useful to practice with.*

1) 8km is about 5 miles. How many kilometres is 40 miles?

2) 6km is about 4 miles. How many kilometres is 36 miles?

3) 4km is about 3 miles. How many kilometres is 27 miles?

4) 9km is about 7 miles. How many kilometres is 49 miles?

5) 7km is about 4 miles. How many kilometres is 32 miles?

## Ratio – money

*This question doesn’t tend to come up much and notice that the numbers are quite easy to manipulate – you don’t need to use complicated formula. These questions don’t make sense because £1 is not 1.70 euros (unfortunately!) but they are useful to practice with.*

1) £1 = 1.70 euros. How much is £100 in euros?

2) £1 = 1.60 euros. How much is £200 in euros?

3) £1 = 1.50 euros. How much is 150 euros in pounds?

4) £1 = 1.80 euros. How much is 180 euros in pounds?

5) £2 = 3.2 euros. How much is £400 in euros?

## Time – Find the end time

*Remember you are working with time which involves hours of 60 mins and mins of 60 seconds. You are not working with regular numbers which work with 1′s, 10′s and 100′s.*

1) A class starts at 9:35. The class lasts 45 mins. What time does the class finish?

2) A class starts at 10:15. There are two classes each lasting 40 mins and then lunch. What time does lunch start?

3) A class starts at 11:45. There are three consecutive classes each lasting 25 mins and then lunch. What time does lunch start?

4) A class starts at 1:30. The class lasts 2 hours and 15 mins. What time does the class finish?

5) A class starts at 9:40. There are 2 classes of 50 mins each and a break of 15 mins in between the classes. What time do the classes finish?

## Time – Find the start time.

*You are working backwards. Remember 60 mins in an hour.*

1) A school day finished at 3:15. There were two classes of 50 mins each after lunch. What time did lunch end?

2) A school day finished at 4:30. There were two classes of 40 mins each after break. What time did break end?

3) Lunch starts at 1:05. There are two classes before lunch of 55 mins each. What time did the classes start?

4) Lunch starts at 1:15. There are three classes before lunch of 45 mins each. What time did the classes start?

5) A school bus arrives at the school at 8:45. The bus picks up 20 children. It takes on average 4 mins to pick up each child. What time was the first child picked up?

## Percentage to Decimal

*Practice lots of these and you’ll start to remember these. Remember that 10% is 0.1 and 6% is 0.06.*

1) What is 20% as a decimal?

2) What is 30% as a decimal?

3) What is 17% as a decimal?

4) What is 6% as a decimal?

5) What is 48% as a decimal?

## Multiplying Decimals

*Look at how many decimal places in question and answer. 2.5 x 2.5 = 6.25.*

1) 1.5 x 1.5

2) 3 x 4.5

3) 4.7 x 8

4) 7.5 x 7.5

5) 2.5 x 6.5

## Multiplying decimals by a power of 10

*You can think of moving digits or moving the decimal point. *

1) 4.5 x 10

2) 3.8 x 100

3) 7.6 x 1000

4) 4.6 x 100

5) 3.5 x 10

## % of Quantity

*Easier to find 10% first*

1) Find 10% of 360

2) Find 20% of 45

3) Find 30% of 320

4) Find 20% of 60

5) Find 30% of 460

## Multiplication

*Use mental multiplication or written multiplication to work out the answers. Personally, I think written is quicker for the QTS skills test.*

1) 23 x 7

2) 34 x 6

3) 56 x 8

4) 42 x 5

5) 34 x 8

## Short Division

*Use short division (bus stop method!)*

1) 292/4

2) 282/3

3) 345/5

4) 567/7

5) 432/4

## Things to keep in mind

1) Being rubbish at this test to begin with doesn’t mean YOU WON’T BE A GREAT TEACHER. You’ll be even better once we’re done with you.

2) You are not alone.

3) Take it slowly (if you can).

4) Believe in yourself. You’ve overcome many challenges in your life. This is just one more little obstacle (even if it seems MASSIVE).

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