VELS 3.0 – 3.5 MATHEMATICS: NUMBER TEACHER PROGRESS TEST TEST INFORMATION • This test contains 30 questions and can be administered to individuals, small groups or to a whole class of students. • Practice questions are included at the start of the test to help students become familiar with the different types of responses that are required in the test. Teachers should work through the practice questions with students prior to starting the test. • An answer sheet, results translation table and information on interpreting results are included. • Time allocation Introduction and practice questions: 5 – 10 minutes Test time: 40 minutes TEST ADMINISTRATION • Make sure that each student has a pencil and an eraser. • Hand out the test booklets to students, making sure that the front cover is facing them. • Read through the instructions on the front cover of the test with the students. • Work through the practice questions with the students, ensuring that the students pay attention to the type of response that is required for each question. Teacher section: 2308 VELS 3.0 – 3.5 Number Progress Test i/iv PROGRESS TEST TEACHER VELS 3.0 – 3.5 Mathematics: Number Answer Sheet Question Correct Response Skill Descriptor 1 A use place value and order positive whole numbers 2 B recognise and describe multiplication as repeated addition 3 3.7 4 B place integers (positive, negative and zero) on a number line 5 D divide by single-digit divisor 6 C carry out simple money calculations 7 D addition of positive whole numbers 8 623 addition of positive whole numbers 9 B identify and order numbers (including negative and zero) 10 21 divide by single-digit divisor 11 0.13, 0.31, 1.3, 3.1 12 49, 24 13 C perform computations involving fractions, proportions, percentages and ratios 14 D carry out simple money calculations 15 C round numbers to nearest unit, ten, hundred or higher 16 D use estimates for computations and determine status of estimation 17 A use estimates for computations and determine status of estimation 18 7 1 11 2 5 3 , , , , 8 8 8 19 A 20 428 21 C describe and complete patterns and sets based on simple criteria 22 A subtraction of positive whole numbers 23 A add and subtract common fractions B perform computations involving fractions, proportions, percentages and ratios 25 A perform computations using multiple operations 26 D use place value and order decimals 27 D identify simple fractions, eg 1 , 1 , 1 28 C add and subtract common fraction using models 6 perform computations involving fractions, proportions, percentages and ratios B identify simple fractions, eg 1 , 1 , 1 24 29 30 add and subtract decimal numbers use place value and order decimals demonstrate recall of multiplication facts up to 10 10 order fractions, decimals, ratios and percentages calculate and order simple powers of whole numbers add and subtract decimal numbers 2 3 4 2 3 4 Teacher section: 2308 VELS 3.0 – 3.5 Number Progress Test ii/iv PROGRESS TEST TEACHER VELS 3.0 – 3.5 Mathematics: Number USING THIS TEST: • This Progress Test will provide only an estimated Victorian Essential Learning Standards (VELS) Progression Point. It is intended to complement and confirm other classroom assessments and teacher judgments, and should not be used in isolation. • This test is designed to measure outcomes over a limited ability range only. • Results are limited to the expected VELS range for a given year level. • It is not possible to give a reliable ability estimate for students with zero or perfect scores. It is recommended that you administer a test at a lower or higher level in these cases. • Ability estimates for students who achieve close to zero or perfect scores will not be as accurate as those for students with results clearly within the range of the test. You may wish to administer a test at a lower or higher level to confirm results for these students. • Each Progression Point covers a wide range of learning outcomes. A student’s estimated ability is influenced by a result being at or near the bottom or at or near the top of the Progression Point. For example, an estimated Progression Point will be the same for a student with 3 correct answers and a student with 10 correct answers. However, these two students have demonstrated different ability levels. • Further information about interpreting results can be found on the VCAA website at: http://www.aimonline.vic.edu/doc/ODI.pdf • Specific information about the learning outcomes for the Victorian Essential Learning Standards is available on the VELS website at: http://vels.vcaa.vic.edu.au Teacher section: 2308 VELS 3.0 – 3.5 Number Progress Test iii/iv PROGRESS TEST TEACHER VELS 3.0 – 3.5 Mathematics: Number Results Translation Table This test targets outcomes at VELS 3.0 to 3.5. For more information about interpreting results download the Interpreting On Demand Reports document at: http://www.aimonline.vic.edu.au/doc/ODI.pdf Number Correct Progression Point (Standard Score) Comment 0 Out of Range The ability of this student cannot be determined using this test. It is recommended that a lower level test be administered. 1–2 2.75 (Below Range) The result indicates that this student is performing below the expected range for this test. 3–4 3.0 The result indicates that this student is performing at or just below the low end of the range for this test. 5–8 3.0 The result indicates that this student is performing at the low end of the range for this test. 9 – 10 3.0 The result indicates that this student is performing at or just above the low end of the range for this test. 11 – 12 3.25 The result indicates that this student is performing at or just below the middle of the range for this test. 13 – 17 3.25 The result indicates that this student is performing in the middle of the range for this test. 18 – 19 3.25 The result indicates that this student is performing at or just above the middle of the range for this test. 20 – 21 3.5 The result indicates that this student is performing at or just below the high end of the range for this test. 22 – 25 3.5 The result indicates that this student is performing at the high end of the range for this test. 26 – 27 3.5 The result indicates that this student is performing at or just above the high end of the range for this test. 28 – 29 3.75 (Above Range) The result indicates that this student is performing above the expected range for this test. 30 Out of Range The ability of this student cannot be determined using this test. It is recommended that a higher level test be administered. Teacher section: 2308 VELS 3.0 – 3.5 Number Progress Test iv/iv VELS 3.0 – 3.5 MATHEMATICS: NUMBER student PROGRESS TEST STUDENT DETAILS STUDENT’S NAME ���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� DATE ���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� CLASS �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� STUDENT INSTRUCTIONS 1. Print your name, class and date above. 2. You have 40 minutes to finish the test. 3. You must do your own work. 4. Do not speak to other students during the test. 5. Raise your hand if you need to speak to the teacher. 6. If you make a mistake, rub it out completely and try again. 7. If a question is too hard, do the next one. You can go back to unanswered questions at the end if you have time. 8. If you have finished the test early, spend time checking your answers before you return the book to your teacher. STUDENT section: 2308 VELS 3.0 – 3.5 Number Progress Test This is a blank page PRACTICE QUESTIONS. Your answers for this section will not be marked. Shade one bubble Practice Question 1 10 x 4 = 10 20 30 40 Write your answer in the boxes Practice Question 2 Write the following numbers from smallest value to greatest value. 2 3 1 smallest value 2 greatest value Practice Question 3 Write your answer in the box 4÷2= Practice Question 4 1 4 + 3 9 Practice Question 5 Circle the correct answers Circle all the triangles on this card © Copyright 2008 Victorian Curriculum and Assessment Authority. All rights reserved. Except under the conditions described in the Copyright Act 1968 and subsequent amendments, no part of this publication may be reproduced by any process without permission in writing from the publishers. 1 5 9 7 1 4 Shade one bubble The largest number that can be made using all these cards is 97 541 97 145 2 97 451 97 514 James bought four chocolate bars. Each chocolate bar cost $1.25 The total amount James spent on chocolate bars could be found by calculating $1.25 + $1.25 + $1.25 + $1.25 What other calculation also gives this amount? $1.25 ÷ 4 $1.25 x 4 $4.00 – $1.25 $4.00 + $1.25 2 . 8 3 Write your answer in the box + 0. 9 Shade one bubble 4 −2 ? 0 The arrow on the number line is pointing to −3 −1 1 − 2 −0.2 Page 1 2 5 54 ÷ 6 = 6 Shade one bubble 7 6 8 9 Anne has a $20 note. She buys a book for $16.70. How much change should she receive? 7 825 + 61 + 8 + 479 = 8 9 $2.30 $2.40 $3.30 $3.40 1263 1273 1363 1373 2 5 9 Write your answer in the box 3 6 4 + Seventy thousand and fifty-eight is 7 058 70 058 700 058 758 000 Page 2 Shade one bubble 10 11 Write your answer in the box 8÷4= Write the following numbers from smallest value to Write your answer in the boxes greatest value. 3.1 0.31 smallest value 12 1.3 0.13 greatest value Circle the correct answers Which two of the following number sentences are correct? 2x6=8 7 x 7 = 49 6 x 4 = 24 8 x 5 = 45 3 x 8 = 32 13 9 x 4 = 48 A train ticket to Adelaide costs half as much as an airline ticket. If the airline ticket costs $560, how much is the train ticket? $230 $260 $280 $290 Page 3 Shade one bubble 14 Jo’s school canteen sells pieces of fruit at the prices shown on the list. Jo buys three pieces of fruit, and gets 20¢ change from $2. Fruit apple banana peach orange apricot pear Which three fruits might Jo have bought? 15 16 17 apple, banana, orange banana, orange, pear banana, peach, apricot apple, peach, apricot Round 7857 to the nearest hundred. 800 7800 7900 50 60 70 8000 19 + 58 is closest to A library has 99 bookshelves. There are 60 books on each bookshelf. The total number of books on the bookshelves is a little less than 6000. exactly equal to 6000. a little more than 5960. exactly equal to 5960. Page 4 80 Shade one bubble Price 50 ¢ 80 ¢ 90 ¢ 60 ¢ 40 ¢ 80 ¢ Write your answer in the boxes 18 Arrange the following numbers from smallest value to greatest value. 11 8 3 25 8 7 8 smallest value 19 20 21 greatest value Shade one bubble 32 = 3x3 2x2x2 3x2 3÷2 Write your answer in the box 423.2 + 4 + 0.8 = This is a number pattern 1, 3, Shade one bubble ? , 27, 81 What number is missing from the number pattern? 5 6 22 9 18 46 136 2 0 0 – 1 6 4 36 1 Page 5 146 23 6 7 – 3 7 24 3 7 Shade one bubble 2 14 3 0 2 1 Three apples are shared equally between four people. How much apple does each person receive? 25 4 3 3 4 1 3 1 4 12 – ( ? + 3 ) = 4 What is the missing number? 5 8 26 11 19 The table shows the time taken by five swimmers to complete a swimming race. Swimmer Alex Ben Cathy Dave Emily Time Taken 1 minute 10 seconds 58 seconds 105 seconds 1½ minutes 85 seconds The three fastest swimmers, in order, were Alex, Ben and Dave. Ben, Emily and Cathy. Alex, Dave and Ben. Ben, Alex and Emily. Page 6 27 28 Shade one bubble What fraction of these twelve shapes are triangles? 1 1 1 1 2 3 4 6 Jodi and Mia have a pizza which has been cut into twelve equal pieces. 3 5 Jodi eats of the pizza and Mia eats of 12 12 the pizza. What fraction of the pizza is left? 2 12 1 4 1 3 29 5 12 Write your answer in the box 3 of 8 = 4 Shade one bubble The circles form a regular square pattern. Some of the circles are hidden by the card. 30 What fraction of the circles is hidden? 1 2 1 1 3 6 1 END OF TEST Page 7 12
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