Test A. Calculator not allowed. Mathematics test KEY STAGE LEVELS. First name. Middle name. Last name. School. DfE number. For marker s use only

Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Test A Calculator not allowed First name Middle name Last name 2012 School DfE number For marker s use only Page 5 7 9 Marks 11 13 15 17 19 21 Total

These three children appear in some of the questions in this test. Kirsty Seb Mina 2

Instructions You may not use a calculator to answer any questions in this test. Work as quickly and as carefully as you can. You have 45 minutes for this test. If you cannot do one of the questions, go on to the next one. You can come back to it later, if you have time. If you finish before the end, go back and check your work. Follow the instructions for each question carefully. This shows where you need to put the answer. If you need to do working out, you can use any space on a page. Some questions have an answer box like this: Show your working For these questions you may get a mark for showing your working. 3

1 Match each shape to the correct name. One has been done for you. pentagon triangle octagon quadrilateral 1i hexagon 2 marks 1ii 4

2 Write these prices in order, starting with the smallest. 20.50 25 2.50 20.05 2 smallest 3 Circle the number which is closer to 1000 996 1006 Explain how you know. 3 5 Total out of 4

4 Kirsty, Seb and Mina made toffee apples to sell at the school fair. They made 80 toffee apples altogether. Kirsty sold 12 toffee apples. Seb sold 25 toffee apples. Mina sold 17 toffee apples. How many toffee apples were left? Show your working 4ai 4aii 2 marks Kirsty sold her 12 toffee apples for 50p each. How much money did she collect? 4b 6

5 Here is a number machine. 4 + 3 7 2 14 Here is another number machine. Write the four missing numbers. + 3 2 42 + 3 2 5i 5ii 2 marks 7 Total out of 5

6 Kirsty, Seb, Mina, Jack and Donna belong to a sports club. This table shows the sports they do in one week. Mon Tues Wed Thurs Fri Swimming Kirsty Jack Jack Kirsty Donna Donna Jogging Seb Mina Mina Kirsty Jack Cycling Kirsty Donna Jack Seb How many of the children do not go swimming? 6a Write the names of all the children who go both jogging and cycling. 6b 8

7 Calculate 507 291 7 8 This square has two dots on each side. The dots are equally spaced. Join two dots to divide the square into two equal parts. Use a ruler. 8 9 Total out of 4

9 Shade 1 of this shape. 4 9 10 Complete this table to show the numbers rounded to the nearest 100 One has been done for you. rounded to the nearest hundred 316 300 3162 31628 316281 10i 10ii 2 marks 10

11 Kirsty draws this shape on a grid. She turns her grid one quarter turn clockwise. Draw the shape in its new position after the turn. Use a ruler. 11 11 Total out of 4

12 These are the prices of cheese in a shop. Cheddar cheese 82p for 100 grams Edam cheese 66p for 100 grams Cottage cheese 45p for 100 grams Mina buys 200g of Cheddar cheese and 150g of Edam cheese. How much does she pay altogether? Show your working 12ai 12aii 2 marks Seb buys some cottage cheese for 1.35 How many grams of cottage cheese does he get? g 12b 12

13 Here are five shapes on a regular grid. A B C D E Which shape has the longest perimeter? 13a Which shape has only one line of symmetry? 13b 13 Total out of 5

14 Calculate 144 6 14 15 These are all times on the same morning. A B C D 7:56 am quarter to eight six minutes to eight half past seven Write the letters for the times in order, starting with the earliest. 15 14

16 Here is a Venn diagram for sorting numbers. Write each number in its correct place on the diagram. 10 11 12 13 multiples of 2 multiples of 4 16i 16ii 2 marks 15 Total out of 4

17 Freddie is half as tall as his mother. Freddie is one metre shorter than his father. Freddie s father is 180 centimetres tall. How many centimetres tall is Freddie s mother? cm 17 18 Calculate 560 28 Show your working 18i 18ii 2 marks 16

19 Here are five letters on a scale. 1 litre B D 2 litres A C E Match each letter to one of the capacities in the list below. 1200ml 1.7l 1 1 4 l 1560ml 19i 1.07l 19ii 2 marks 17 Total out of 5

20 Seb has some cubes with a cross on each face and some cubes with a circle on each face. He sticks five cubes together to make this shape. How many crosses and how many circles are there on the outside of the shape? Number of crosses 20a Number of circles 20b 18

21 Mina has 5 more marbles than Kirsty. Kirsty has 2 more marbles than Seb. Altogether they have 30 marbles. How many marbles does each child have? Show your working 21i Mina Kirsty Seb 21ii 2 marks 19 Total out of 4

22 This pie chart shows the ingredients to make a food mixture for wild birds. suet millet sunflower seeds dried bread crumbs Estimate the percentage of mixture that is suet. % 22a Mina uses 100 grams of millet in the mixture. Estimate how many grams of sunflower seeds she should use. g 22b 20

23 Write these in order of size, starting with the smallest. 3 4 0.34 0.7 43% 23 smallest 24 In a class, 18 of the children are girls. A quarter of the children in the class are boys. Altogether, how many children are there in the class? Show your working 24i 24ii 2 marks 21 Total out of 5

End of test 22

Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Test B Calculator allowed First name Middle name Last name 2012 School DfE number For marker s use only Page 5 7 9 11 Marks 13 15 17 19 21 23 Total

These three children appear in some of the questions in this test. Kirsty Seb Mina 2

Instructions You may use a calculator to answer any questions in this test. Work as quickly and as carefully as you can. You have 45 minutes for this test. If you cannot do one of the questions, go on to the next one. You can come back to it later, if you have time. If you finish before the end, go back and check your work. Follow the instructions for each question carefully. This shows where you need to put the answer. If you need to do working out, you can use any space on a page. Some questions have an answer box like this: Show your method For these questions you may get a mark for showing your method. 3

1 Write the missing numbers. 57 + = 125 1a 5 = 175 1b 2 Here is a semi-circle. Measure accurately the length of the straight edge. Give your answer in centimetres. cm 2 4

3 Mina and Seb share these coins so that they each have the same amount of money. Mina chooses her coins first. Seb takes the rest of the coins. Which coins could Mina choose? 3 5 Total out of 4

4 Here are three shapes made from regular hexagons. Write the fraction of each shape that is shaded. 4i 4ii 2 marks 6

5 Here are five calculations. For each, put a tick ( ) in the box if the answer is greater than 450 Put a cross ( ) if it is not. One has been done for you. 46 10 greater than 450 149 + 137 + 158 911 447 863 2 5i 16 28 1 2 5ii 2 marks 7 Total out of 4

6 This diagram shows a square with dots at the vertices and at the middle of each side. The square is divided into four triangles, A, B, C and D. A B C D Write the letters of all the triangles that have a right angle. 6a Write the letters of all the triangles that have two equal sides. 6b 8

7 A survey was done to find out children s favourite season. This chart shows the results. spring summer autumn winter 0 2 4 6 8 10 12 14 16 Number of children How many more children chose autumn than chose spring? 7a Kirsty says, Exactly twice as many children chose summer as chose winter. Is Kirsty correct? Circle Yes or No. Yes / No Explain how you know. 7b 9 Total out of 4

8 The table below shows five journeys a taxi driver made one day. journey number start time number of passengers distance cost 1 9:15 am 2 8 km 7.50 2 9:40 am 1 12 km 9.90 3 10:30 am 3 7 km 7.60 4 10:50 am 1 21 km 15.50 5 12:10 pm 4 15 km 12.00 On journey number 5, the passengers shared the cost equally. How much did each passenger pay? 8a How many passengers made journeys of more than 10km? passengers 8b The 12km journey took 40 minutes. What time did the taxi finish its journey? am 8c 10

9 Here is a design on a square grid. Complete the design so that it is symmetrical about the mirror line. Use a ruler. 9 mirror line 11 Total out of 4

10 Seb goes on a sponsored walk to collect money for charity. His aunt promises to pay 75p for each kilometre he walks. She pays him 6.75 at the end of the walk. How many kilometres does Seb walk? km 10a 15% of the people walk 5km or less. 40% of the people walk 8km or more. What percentage of the people walk between 5km and 8km? % 10b 12

11 Here is a number line. Y 0 1 X What is the value of X? X = 11a Estimate the value of Y. Y = 11b 13 Total out of 4

12 Kirsty ran a race in one and a half minutes. Mina took 10 seconds longer. How many seconds did Mina take to run the race? seconds 12a Seb made a jump of two and a half metres. Kirsty s jump was 10 centimetres longer. How long was Kirsty s jump? 12b 14

13 Three single-digit numbers multiply to make 504 Write the missing numbers. = 504 13 14 Mina thinks of a 3-D shape. She says, It has 5 faces. Two opposite faces are triangles. The other faces are rectangles. What is the name of the 3-D shape? 14 15 Total out of 4

15 Seb bought 2 apples and 3 pears. He spent 1.59 altogether. Apples cost 24p each. How much does one pear cost? Show your method 15i 15ii 2 marks 16

16 Here are some tiles on a square grid. B A C D E F G Three different tiles can be fitted together without overlapping to make a shape identical to tile A. Write the letters of the three tiles. and and 16 17 Total out of 3

17 A gardener plants tulip bulbs in a flower bed. She plants 3 red bulbs for every 4 white bulbs. She plants 60 red bulbs. How many white bulbs does she plant? Show your method 17i 17ii 2 marks 18 Here is a shaded shape on a 1cm square grid. 1cm 1cm What is the area of the shaded shape? cm 2 18 18

19 Kirsty measured the length of her shadow every hour on one sunny day. She plotted her results on this graph. 200 Length of shadow (cm) 100 0 9:00 10:00 11:00 12:00 am Time 1:00 2:00 3:00 4:00 pm Look at the graph. Estimate the length of Kirsty s shadow at 3:30 pm. cm 19a Estimate a time when her shadow was 180 centimetres long. : 19b 19 Total out of 5

20 The diagram shows four lines drawn on a square grid. The lines are AB, BC, CD and DA. C A B D Which two of the lines are parallel? Circle them in the list below. AB BC CD DA 20a Which two of the lines are perpendicular? Circle them in the list below. AB BC CD DA 20b 20

21 Write the missing number to make this calculation correct. ( 18 + ) 32 = 777.6 21 22 A school buys some yo-yos as prizes. The yo-yos cost 4.25 each. The school has 40 to spend on prizes. They buy as many yo-yos as they can. How much money is left? Show your method 22i 22ii 2 marks 21 Total out of 5

23 j and k stand for two numbers. Double j equals half of k. Write numbers to complete the sentence below. When j is then k is 23 24 Here is a line on coordinate axes. y R Q O P (25,12) x Points O, P, Q and R are equally spaced. The coordinates of P are (25,12). What are the coordinates of R? R = (, ) 24 22

25 Three whole numbers add up to 50 Seb says, All three numbers must be even numbers. Is Seb correct? Circle Yes or No. Yes / No Explain how you know. 25 23 Total out of 3

Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Mental mathematics Test transcript THIS BOOKLET CONTAINS CONFIDENTIAL TEST QUESTIONS. IT MUST BE KEPT SECURE. IT SHOULD NOT BE OPENED UNTIL THE MENTAL MATHEMATICS TEST IS DUE TO START ON WEDNESDAY 16 MAY 2012. EARLY OPENING, UP TO ONE HOUR BEFORE THE TEST STARTS, IS PERMISSIBLE ONLY IF PAPERS ARE NEEDED FOR ADMINISTRATIVE PURPOSES. 2012 This booklet contains a transcript of the Key Stage 2 mental mathematics test. It should be used ONLY in the case of CD failure or for specific access arrangements outlined in the 2012 Key Stage 2 Assessment and reporting arrangements.

Notes for use of transcript Instructions In the event of CD failure, the test administrator should follow the instructions on pages 2 and 5. 1. Pupils should have only pens or pencils. They should not have rubbers, rulers, calculators or any mathematical equipment. Access to paper for working out answers is not allowed. 2. Ensure that each pupil has an answer sheet. Tell the pupils to write their name, school and DfE number in the box at the top of the answer sheet. 3. Ensure the pupils understand that: they must complete the test on their own without copying or discussing questions with other pupils they will be told how long they have to answer each question and that the time given will increase from 5, to 10, to 15 seconds as the test progresses through the three sections for some of the questions, the information they will need is included in or beside the answer box on the pupil answer sheet they are not allowed to use a calculator or any other mathematical equipment if they want to change their answer, they should put a cross through their first answer. They are not allowed to rub out any answers they should answer as many questions as they can. If they find a question too difficult, they should put a cross in the answer box and wait for the next question they should not write in the white boxes in the blue margins they will not be allowed to ask any questions once the test has started. 4. The test administrator must have access to a clock or watch that measures accurately in seconds. Instructions continued on page 5 2

Test questions Now we are ready to start the test. For this group of questions, you will have 5 seconds to work out each answer and write it down. The questions 1 What is double thirty-six? 2 What time is it half an hour before eleven o clock? 3 Divide forty-two by seven. 4 Subtract forty-five from one hundred and twenty. 5 What is two-thirds of one hundred and fifty? For the next group of questions, you will have 10 seconds to work out each answer and write it down. 6 Add twenty-nine to eighty-nine. 7 Cakes cost one pound twenty-five each. How much do four cakes cost? 8 Multiply three by eight, then subtract nine. 9 How many metres are there in half a kilometre? 10 What is twenty-five percent of six hundred? 11 Look at your answer sheet. How much does it cost altogether for one small pizza and one large pizza, each with one extra topping? 12 Subtract one and a half from eight. 13 Look at your answer sheet. Put a ring around the number that is closest to one. 14 Two angles of a triangle are fifty degrees each. What is the third angle of the triangle? 15 What must be added to eight squared to make one hundred? For the next group of questions, you will have 15 seconds to work out each answer and write it down. 16 Look at your answer sheet. Add the five numbers together. 17 Sandwiches cost one pound fifty pence each. I buy six sandwiches. How much change do I get from ten pounds? 18 What is thirty-two multiplied by eight? 19 What number is exactly halfway between ten and negative twenty? 20 Look at your answer sheet. Put a ring around the two prime numbers in the list. Now put down your pen or pencil. The test is finished. 3

Reference copy of pupil answer sheet Key stage 2 mathematics 2012 mental mathematics test First name Middle name Last name DfE number School name Total marks Practice question 11 Pizza small 6.00 medium 7.50 large 9.00 extra topping 50p Time: 5 seconds 11 1 1 12 12 2 3 2 3 13 0.09 0.89 0.1 1.2 1.19 13 4 45 4 14 º 50º 14 5 150 5 15 15 Time: 10 seconds Time: 15 seconds 6 29 89 6 16 30 40 50 60 70 16 7 1.25 7 17 1.50 17 8 9 8 18 18 9 m 9 19 19 10 25% 10 20 31 33 35 37 39 20 4

5. Read out the following script, using exactly these words: Listen carefully to the instructions I am going to give you. I am going to ask you 20 questions for the test. I will read each question twice. Listen carefully both times. You will then have time to work out your answer. On your sheet there is an answer box for each question, where you should write the answer and nothing else. Some questions are easy and some are harder, so don t worry if you cannot answer a question. For some of the questions, important information is already written down for you on the sheet. You should work out the answer to each question in your head. Do not try to write down your calculations. This will waste time and you may miss the next question. However, you may jot things down outside the answer box if this helps you. If you cannot work out an answer, put a cross in the answer box. If you make a mistake, cross out the wrong answer and then write the correct answer next to it. You will not be able to ask questions once the test has begun. If you have any questions you may ask them now. 6. Stop and answer any questions that the pupils may have. 7. Read out the following: I will start by reading a practice question to show you what to do. I will read the practice question twice. Then you will have 5 seconds to work out the answer and write it in the answer box. What is twenty add twelve? Repeat the question. What is twenty add twelve? Wait five seconds (measured accurately using a clock or watch), then read out the following: Now put down your pen or pencil. 8. Ensure that the pupils have correctly placed their answers to the practice question on their answer sheets. Remind the pupils that, for some questions, information is provided in or beside the answer box. When they are ready to begin the test, tell the pupils that you will not be able to answer any further questions, or interrupt the test, once you have started reading the questions. 9. The questions are given on page 3 of this booklet. The questions must be read out exactly as written. Start by stating the question number, then read each question twice before leaving the 5, 10 or 15 second response time. These timings must be strictly adhered to. 10. At the end of the test, tell the pupils to put down their pens or pencils, then collect their answer sheets. 5