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Ma Mathematics tests KEY STAGE 3 HIGHER TIERS TEST B Mental mathematics Test B transcript CONFIDENTIAL MATERIAL ENCLOSED 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 7 MAY 2008. EARLY OPENING, UP TO ONE HOUR BEFORE THE TEST 2008 STARTS, IS PERMISSIBLE ONLY IF PAPERS ARE NEEDED FOR ADMINISTRATIVE PURPOSES. This booklet contains a transcript of the key stage 3 mental mathematics test B. It should be used ONLY in cases of CD failure or for speciﬁc special arrangements outlined in the 2008 Assessment and reporting arrangements booklet for key stage 3. Sourced from SATs-Papers.co.uk 282682_mmTransB.indd 1 http://www.SATs-Papers.co.uk 30/11/07 23:44:17 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 other 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 and school 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 Sourced from SATs-Papers.co.uk 282682_mmTransB.indd 2 2 http://www.SATs-Papers.co.uk 30/11/07 23:44:17 Sourced from SATs-Papers.co.uk 282682_mmTransB.indd 3 3 http://www.SATs-Papers.co.uk 30/11/07 23:44:17 I start at four point seven and count on in equal steps: four point seven, four point eight, four point nine. Write down the next two numbers in the sequence. Double the expression on your answer sheet. Write seven-hundredths as a decimal. Look at the scatter graph. It shows a type of correlation. Put a ring round the word that describes the type of correlation it shows. Write ten out of twenty-ﬁve as a percentage. 2 3 4 5 6 Look at the triangle drawn on the grid. What are the coordinates of the point marked A? What is half of three pounds sixty? 8 9 ‘Now turn over your answer sheet.’ 14 What is one quarter of one hundred and forty-eight? 13 How many ﬁfths are there in two? 12 Look at the diagram. Estimate the size of angle a. 11 Double two point nine. 10 How many millimetres are there in ten centimetres? Look at the scale. About what value is the arrow pointing to? 7 ‘For the next group of questions you will have 10 seconds to work out each answer and write it down.’ Multiply six by six. 1 For the ﬁrst group of questions you will have 5 seconds to work out each answer and write it down.’ ‘Now we are ready to start the test. Higher tiers test B questions 5 4 3 2 1 4.8, High 7 100 4 pq , 99 Total marks Negative Gradient 4.9, Positive None 4.7, Time: 5 seconds Practice question School Last name First name Mental mathematics Test B Key stage 3 mathematics 2008 Pupil answer sheet 5 4 3 2 1 % 14 13 12 11 10 9 8 7 £ 0 0 1 2 3 4 0 ( A ° 1 1 , 2 3 a B 2 1 5 148 2.9 2 10 cm £ 3.60 ) 4 10 out of 25 C mm Time: 10 seconds 6 Time: 5 seconds continued 14 13 12 11 10 9 8 7 6 Sourced from SATs-Papers.co.uk 282682_mmTransB.indd 4 4 http://www.SATs-Papers.co.uk 30/11/07 23:44:18 ‘Put your pens down. The test is ﬁnished.’ 30 Look at the graph. Write down the equation of the line labelled A. 29 Four numbers have a mean of twenty-ﬁve. Three of the numbers are shown on your answer sheet. Write down the missing number. 28 Look at the calculation on your answer sheet. Write an approximate answer. 27 A million pound lottery prize is divided in the ratio one to four to ﬁve. How much is the smallest share of the prize? 26 A circle has a radius of ﬁve. One of the values on your answer sheet shows its circumference. Put a ring round the correct value. 25 Look at the fractions. Put rings round all those that are greater than three-quarters. 24 Car parking costs forty pence for every ﬁve minutes. How much will it cost to park for one hour? 23 Think about a pyramid that has a triangular base. How many triangular faces does it have altogether? 22 The line graph shows the number of ice creams sold at a cinema in one week. On how many days were the sales more than one hundred? ‘For the next group of questions you will have 15 seconds to work out each answer and write it down.’ 21 A cylinder has a base area of ten square centimetres and a volume of ninety cubic centimetres. What is the height of the cylinder? 20 Look at the expression. When x is three, what is the value of the expression? 19 A square of side two centimetres is enlarged by scale factor two. What is the area of the enlarged square? 18 Look at the equation. What is the value of x? 17 What is the next square number after thirty-six? 16 There are seventeen red and thirteen green apples in a bag. I am going to take out an apple without looking. What is the probability that the apple will be green? 15 Look at the polygon. Write down its mathematical name. 2 cm 36 17 red 13 green 10cm2 22 0 200 150 100 50 cm 90cm3 ( x + 2 )( x – 1 ) days M T W T F S S day Time: 15 seconds 21 20 cm2 Scale factor 2 18 19 21 – 3 x = 9 17 16 22 21 20 19 18 17 16 30 29 28 27 26 25 24 £ 3 5 – 20 5 £ –2 5 6 0 2 y 0 10 –2 80 25 4 5 15 7 10 40 2 x A 39.92 × 41.06 1.98 1:4: 5 100 5 6 9 40p for 5 minutes 23 15 15 Time: 15 seconds continued Time: 10 seconds continued 30 29 28 27 26 25 24 23 5. Read out the following script, using exactly these words: Listen carefully to the instructions I am going to give you. After I have ﬁnished reading them, there will be time for you to ask any questions you might have. However, you will not be able to ask any questions once the test has begun. I will start by reading a practice question. Then I am going to ask you 30 questions for the test. On your sheet there is an answer box for each question, where you should write the answer to the question and nothing else. You should work out the answer to each question in your head, but you may jot things down outside the answer box if this helps you. Do not try to write down your calculations because this will waste time and you may miss the next question. For some of the questions, important information is already written down for you on the sheet. I will read out each question twice. Listen carefully both times. You will then have time to work out your answer. 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 write the correct answer next to it. There are some easy and some harder questions so don’t be put off if you cannot answer a question. 6. Stop and answer any questions that the pupils may have. 7. Read out the following: Here is the practice question to show you what to do. I will read the question twice, and you will have 5 seconds to work out the answer and write it in the answer box. Add ten to the number on your answer sheet. Repeat the question. Add ten to the number on your answer sheet. Wait 5 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 pages 3–4 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. Sourced from SATs-Papers.co.uk 282682_mmTransB.indd 5 5 http://www.SATs-Papers.co.uk 30/11/07 23:44:18 QCA wishes to make its publications widely accessible. Please contact us if you have any specific accessibility requirements. 29 Bolton Street London W1J 8BT Telephone: 08700 60 60 40 Minicom: 020 7509 6546 Fax: 020 7509 5908 Email: tests@naa.org.uk Website: www.naa.org.uk/tests First published 2008 © Qualifications and Curriculum Authority 2008 Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher, unless within the terms of licences issued by the Copyright Licensing Agency. Excerpts may be reproduced for the purpose of research, private study, criticism or review, or by educational institutions solely for educational purposes, without permission, providing full acknowledgement is given. Printed in Great Britain by the Qualifications and Curriculum Authority under the authority and superintendence of the Controller of Her Majesty’s Stationery Office and Queen’s Printer of Acts of Parliament. The Qualifications and Curriculum Authority is an exempt charity under Schedule 2 of the Charities Act 1993. Qualifications and Curriculum Authority 83 Piccadilly London W1J 8QA www.qca.org.uk Sourced from SATs-Papers.co.uk 282682_mmTransB.indd 6 For more copies: QCA Orderline, PO Box 29, Norwich NR3 1GN www.qca.org.uk/orderline email: orderline@qca.org.uk Tel: 08700 60 60 15 Fax: 08700 60 60 17 QCA/08/3296 (Pupil pack) QCA/08/3286 (Mark scheme pack) 282682 http://www.SATs-Papers.co.uk 30/11/07 23:44:18