# Day 1. Mental Arithmetic Questions KS3 MATHEMATICS

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1 Mental Arithmetic Questions. The tally chart shows the number of questions a teacher asked in a lesson. How many questions did the teacher ask? KS3 MATHEMATICS 2. How many seconds are there in two minutes? Level 4 Questions 3. What number is the arrow pointing to on the number line? Day 4. The time is now one p.m. My train is due at sixteen hundred hours. How many hours is it before my train is due? 5. What is the next number in this halving sequence? Twenty, ten, five,

2 Cards for fractions Here are six number cards. Equations Solve these equations. a + 2 = (a) Choose two of these six cards to make a fraction that is equivalent to 3 b 2 = 24 a =... b =... 0 Choose two of these six cards to make a fraction that is greater than 2 but less than Café A café sells coffee and toast. Placing fractions cup of coffee cup of coffee Here are four fractions slice of toast 2 slices of toast Look at the number line below. Write each fraction in the correct box Cost.30 How much does cup of coffee cost? Cost.70 2 marks... p

3 Mental Arithmetic Questions KS3 MATHEMATICS. A teacher asked some pupils if they had a part-time job. The pie chart shows the results. The teacher asked twenty pupils. How many of them said yes? Level 4 Questions 2. Four packets of biscuits cost one pound. How much would six packets of biscuits cost? Day 2 3. Look at the rectangle. What is its perimeter? 4. Look at the expression in the square. Which answer below is the same as the expression in the square? Ring the correct on. 5. Look at the equation. When x equals five, what is the value of y?

4 Weighing a dog Jack weighs himself. Hexagons I use two congruent trapeziums to make the shapes below. Tick ( ) all the shapes that are hexagons kg Then Jack weighs himself together with his dog. 2 marks and 60.4 kg Four cubes I join three cubes in a line to make this shape. How much does the dog weigh? Decimals This pair of decimal numbers add to Then I join one more cube to make an L-shape. Draw the L-shape on the paper below. (a) Write a different pair of decimal numbers that add to The pair of decimal numbers below should add to Write the missing decimal number marks

5 Mental Arithmetic Questions. The diagram shows a line inside a square. What is the size of the angle labelled t? KS3 MATHEMATICS In my family, the range of heights is 25 cm. The height of the shortest person is 25 cm. What is the height of the tallest person? Level 4 Questions Day 3 3. Multiply 4.7 by Look at the triangle. Work out the size of angle a. 5. What is the next prime number after nineteen?

6 Caribbean cordial Here are the ingredients for a cordial used to make a drink. 50g ginger Throwing dice Some pupils throw two fair six-sided dice. Each dice is numbered to 6. One dice is blue. The other dice is red. Anna s dice show blue 5, red 3. Her total score is 8. The cross on the grid shows her throw red 3 2 lemon blue litres of water 900g sugar (a) Carl s total score is 6. What numbers could Carl s dice show? Put crosses on the gird to show all the different pairs of numbers Carl s dice could show red 3 2 (a) Jenny is going to make this cordial with 25g of ginger. How much lemon, water and sugar should she use? 2 marks blue g ginger... lemon The pupils play a game. Winning rule: Win a point if the number on the blue dice is the same as the number on the red dice red litres of water Put crosses on the grid to show all the different winning throws blue g sugar The finished drink should be 3 cordial and 3 2 water. Jenny puts 00 ml of cordial in a glass. How much water should she put with it? 3 marks (c) The pupils play a different game. The grid shows all the different winning throws red blue 2 marks ml Complete the sentence below to show the winning rule. Winning rule: Win a point if the number on the blue dice is...

7 Mental Arithmetic Questions. What is 20% of 300? 2. It takes 3 hours to travel from my home to my friend s house. I arrive at 2:00 pm. At what time did I leave home? Write your answer using am or pm. 3. I count back in nought point ones. Write the next two numbers in the pattern below. 5.3, 5.2, 5.,, 4. Subtract 9 pence from Shade one quarter of the diagram below.

8 Write a number (a) Write a number that is both greater than 0 and a multiple of 4 Spinners On each spinner write five numbers to make the statements correct. It is certain that you will get a number less than 6 Now write a number that is both... greater than 0 and a square number Shampoo... It is more likely that you will get an even number than an odd number. The diagram shows what Molly buys. It is impossible that you will get a multiple of 3 She pays with a 5 note and gets 66p change. How much did Molly pay for the shampoo? 2 marks

9 . Add 72 and 38. Mental Arithmetic Questions KS3 MATHEMATICS Centimetres are a measure of length. What are Grams a measure of? Level 4 Questions Day 5 3. How much is half of 9.50? 4. The diagram shows a plan of a room. The scale is centimetres to 2 metres. On the plan the room is 4 cm long. How long is the room in real life? 5. The pie chart shows how two hundred pupils travel to school. How many of these pupils walk to school?

10 Populations The table shows the approximate populations of five different places. Place Approximate population London Sheffield Harrogate Ash Vale Binbrook 700 Thinking of rules (a) I can think of three different rules to change 6 to Complete these sentences to show what these rules could be. (a) Which of the places has a population of about seventy thousand?... Use the table to complete these sentences. The population of Harrogate is about 0 times as big as first rule: second rule: add... multiply by... the population of... third rule: multiply by 2 then... The population of... is about 00 times as big as the population of Harrogate. The population of Sheffield is about... times as big as Now I think of a new rule. the population of Ash Vale. Number lines 2 marks The new rule changes 0 to 5 and it changes 8 to Write the missing numbers on the number lines. +3 Write what the new rule could be marks

11 Mental Arithmetic Questions. The population of the United Kingdom is about fifty-nine million. Write this number in figures. KS3 MATHEMATICS A pupil measures his height as six feet. About how many metres is that? Ring the best answer below Level 4 Questions 3. Write a multiple of 3 that is bigger than 00. Day 6 4. Look at the angle. Estimate its size in degrees. 5. Look at the expression. Write it as simply as possible. 3a + 4a + 2a

12 Which calculation? Here is some information about a school. There are 3 classes in year 8. Each class has 27 pupils. There are 4 classes in year 9. Each class has 25 pupils. Use the information about the school to write what the missing question could be. Question Calculation (a) Use the information to match each question with the correct calculation. The first one is done for you Question Calculation How many classes are there altogether in years 8 and 9? 3 4 Chains (a) The number chain below is part of a doubling number chain. 4 3 Fill in the two missing numbers. There are more classes in year 9 than in year 8. How many more? How many pupils are there altogether in years 8 and 9? (3 27) + (4 25) (3 + 27) + (4 + 25) (3 27) (4 25) The number chain below is part of a halving number chain. Fill in the two missing numbers. There are more pupils in year 9 than in year 8. How many more? (4 + 25) (3 + 27) (4 25) (3 27) 3 marks

13 Mental Arithmetic Questions. In a local swimming pool, 32 lengths is half a mile. How many lengths is one mile? KS3 MATHEMATICS I bought three tickets for a concert. The total cost was 45. How much was one ticket? Level 4 Questions Day 7 3. Below is part of a train timetable. How long does the journey take from Twyford to Maidenhead? 4. What is one quarter of 60? 5. What is the perimeter of this square? 0 cm

14 Place value (a) Add together 740 and 282 Shapes on a grid Here is a sequence of shapes made with grey and white tiles. Shape number Shape number 2 Shape number 3 Shape number 4 Now add together 7.4 and 2.82 You can use part (a) to help you. (c) is bigger than How much bigger? The number of grey tiles = 2 the shape number The number of white tiles = 2 the shape number (a) Altogether, how many tiles will be in shape number 5?... tiles Altogether, how many tiles will be in shape number 5? 2 marks... tiles (c) Write the missing number below. The total number of tiles =... the shape number

15 Mental Arithmetic Questions 6. Look at the numbers. Put a ring round the median Look at the scale. About what value is the arrow pointing to? KS3 MATHEMATICS Level 4 Questions 8. My birthday is 22 days after my friend s birthday. This year my friend s birthday is on a Monday. On what day will my birthday be this year? Day 8 9. The longest flight of stairs in the world is in Switzerland. There are 674 steps. Write this number to the nearest thousand. 0. What is the largest number that will divide exactly into 2 and 20?

16 Computation (a) Add together 3.7 and 6.5 Completing quadrilaterals (a) The line on the square grid below is one side of a square. Draw 3 more lines to complete the square.... Subtract 5.7 from (c) Multiply 254 by 5 (d) Divide 342 by 6... The line on the square grid below is one side of a quadrilateral. The quadrilateral has only one pair of parallel sides. Draw 3 more lines to show what the quadrilateral could be....

17 Mental Arithmetic Questions. I buy a notebook for 50p. How much change should I get from a 2 coin? KS3 MATHEMATICS 2. Add these numbers: Level 4 Questions Day 9 3. A train leaves at 0:30 am and travels for 4 hours. At what time does the train stop? Write your answer using am or pm. 4. I am counting back in steps of 0. Write down the next number. 25, 5, 05, 5. What is half of seven?

18 Signs Use +,, or to make each calculation correct. Examples: = = Survey results (a) Jackie asked 27 people: Do you like school dinners? The bar chart shows her results for Yes and No. Complete the bar chart to show her result for Don t know = = = = Number of people Yes No Don t know This pictogram also shows her results for Yes and No. Complete the pictogram to show her result for Don t know. Yes No Don t know

19 Mental Arithmetic Questions. Look at the temperatures below. Put a ring round the temperature that is the lowest. KS3 MATHEMATICS people went on holiday. The pie chart shows how they travelled. How many people travelled by car? Level 4 Questions Day 0 3. Write down an even number that is a multiple of seven. 4. Two rulers cost 80p. How much do 3 rulers cost? 5. How many seconds are there in one and a half minutes?

20 Temperature The arrow by this thermometer shows a temperature of 20 C ºC 30 (a) Draw an arrow by the thermometer to show 7 C. Label your arrow 7 C Names These are the names of the twelve people who work for a company. Ali Claire Kiki Suki Brian Claire Lucy Tom Claire James Ryan Tom (a) What name is the mode? 20 20ºC... 0 Draw an arrow by the thermometer to show 5 C. Label your arrow 5 C One person leaves the company. A different person joins the company. Now the name that is the mode is Tom. Write the missing names in the sentences below. (c) In New York the temperature was 2 C The name of the person who leaves is... 0 In Atlanta the temperature was 7 C warmer. What was the temperature in Atlanta? The name of the person who joins is C (d) In Amsterdam the temperature was 3 C In Helsinki the temperature was 8 C How many degrees warmer was it in Television I buy a widescreen television costing 290 I pay 900 now, then I pay the rest of the money in 3 equal payments. How much is each payment? Show your working. Amsterdam than in Helsinki?... C 2 marks

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### You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.

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### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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