Ipswich School 11 Sample Paper Booklet 2021 - Entrance Examination Practice Paper - Mathematics

Sep 30, 2026

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Entrance Examination Practice Paper - Mathematics for Year 7 entry. Timed for 45 minutes with no calculators allowed, it instructs students to write answers in provided spaces, show working where possible, and avoid correction fluid. Questions cover number sense (writing numbers in figures), multiplication and division facts, using chosen methods for larger products, fraction calculations, converting values to percentages, continuing number patterns, operations with decimals, perimeter and area of a joined coordinate shape, and additional topics such as factors, primes, ordering sizes, rounding, and interpreting a day-long temperature table with a line graph.

LanguageEnglish

CategoryExam

FormatPDF

Pages12

Reading Time30 min

AccessFree to download

Mathematics

Instructions

Questions 1-14

Entrance Tests Year 7 Entry Practice Papers ENTRANCE EXAMINATION PRACTICE PAPER MATHEMATICS Time allowed: 45 minutes Calculators are not permitted. Write your answers in the spaces provided. Do not use correction fluid. Show some working where possible, using the spaces provided. You have 45 minutes and you will be told when there are 10 minutes left. 1. Write the following numbers in figures (for example, twenty-three is 23 in figures) (a) Two hundred and nine ……………………………………… (b) Nine thousand and ninety ……………………………. (c) Sixty-five thousand and sixty-five ………………………………………….. 2. Calculate the following: (a) 9 x 6 = ……………………..…… (b) 63 􀁹 9 = …………………….….. (c) 14 x 10 = ………………………. (d) 270 􀁹 100 =…………………… (e) 0.4 x 1000 = …………….……. (f) 5 x 72 = ………………………. (g) 325 􀁹 25 = ……………………. (h) 24 x 25 = ………………..……. (i) 6060 􀁹 5 = ………………...….. (j) 999 􀁹 5 =……………………….. (k) (10 – 7) x 8 = …………….….. (l) 6 x 15 + 5 = …………….……. (m) 8 + 3 x 4 =…………………… (n) 9 – 2 x 4 = ………………….. 3. Use a method of your own choice to do the following calculations: (a) 417 x 31 (b) 873 􀁹 9 4. Calculate the following fractions: (a) two-thirds of thirty-six is ………….. (b) ¾ of 36 is………………… (c) ⅝ x 32 = ………….. 5. Calculate the following as percentages – the first one is done for you. (a) 7 out of 10 is 70% (b) 6 out of 30 is ………………………. (c) 7 out of 100 is……………………… (d) 3 out of 1500 is …………………….. 6. Continue the number patterns for three more places, as shown in the example. Example: 1, 2, 3, 4, 5…, 6 , 7 (a) 35, 28, 21,…………,………….,……………. (b) 2, 5, 10,………..,…………..,……………. (c) 10, 0.1, 0.001,……….…...,…………..………….,………………….….. . 7. Calculate the following: (a) 7.53 + 8.04 =………………………… (b) 9.71 + 32.8 =………………………… (c) 29.73 – 12.69 = ………………………. (d) 27.2 – 9.33 =………………………… 8. Do this question on the axes provided. Draw the following points: A(1,2), B(1,7), C(4,7), D(4.12), E(7,12), F(7,7), G(9,7), H(9,2) and join the points in that order. (a) What is the perimeter of ABCDEFGH? (b) What is the area of ABCDEFGH? 9. A class of 10 pupils takes two tests, in Maths and English. Here are the marks out of 100: Maths: 46, 47, 48, 50, 50, 50, 50, 59, 60, 61 English: 40, 70, 55, 79, 70, 29, 70, 77, 79, 70 (a) What is the mode (i) in Maths……………….. (ii) in English……………... (b) What is the range (i) in Maths……………….. (ii) in English……………... Do you think that the class is better at Maths or English? Give reasons for your answer. | .
. | | --- | | . | 10. (a) Write down all the factors of 24 ………………………………………….. (b) Circle the prime numbers in this list: 11 27 1 5 51 2 17 (c) Put the following numbers in order of size, beginning with the smallest 95%, 0. 875, 0.9, ¾, 0.809 ……………………………………………………………………………………. 11. Round the following quantities to the nearest centimetre: (a) 2.797 m 􀁼 ……………… (b) 917.5 cm 􀁼 ………………… (c) 835 mm 􀁼 ………………… 12. The table shows the temperature of a hospital patient over the course of a day. | Time | 6 a.m. | 8 a.m. | 10 a.m. | 12 p.m. | 2 p.m. | 4 p.m. | | --- | --- | --- | --- | --- | --- | --- | | Temp ( oC) | 35 | 34.5 | 37 | 37.5 | 39 | 39.5 | On the squared grid below, draw a line graph to display these data. Below your line graph make one comment about the condition of the patient. | | | | | | | | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | time | 40 Temp 39 38 37 36 35 34 33 32 31 30 4 6 8 10 12 14 16 My comment: ………………………………………………………………………. ………………………………………………………………………………………. 13. Reflect the word ‘Lysander’ in the mirror line LYSANDER Mirror line 14. Consider the following three statements: 1 = 1 1+ 3 = 4 1 + 3 + 5 = 9 Showing your working clearly, can you find a quick way of adding up the first ten thou

FAQs

How long is the Year 7 Mathematics entrance practice paper and are calculators allowed?

The time allowed is 45 minutes, and calculators are not permitted.

What types of math problems appear in the paper?

It includes numbers in figures, multiplication/division, decimals, fractions and percentages, number patterns, perimeter and area on a coordinate shape, factors and prime numbers, rounding, and interpreting a temperature table using a line graph.

What does the paper ask for when using the coordinate points?

Students must draw and join the given points, then calculate the perimeter of ABCDEFGH and the area of ABCDEFGH.

Sep 30, 2026

Upload by Stanley