End of Year 8 Assessment 2022 Mathematics - PDF

End of Year 8 Assessment Mathematics Name __________________ Date _____________ Time allowed 55 minutes. The maximum mark for this paper is 50. Instructions  Use black ink or black ball-point pen.  Calculator allowed.  Draw diagrams in pencil....

End of Year 8 Assessment Mathematics Name __________________ Date _____________ Time allowed 55 minutes. The maximum mark for this paper is 50. Instructions  Use black ink or black ball-point pen.  Calculator allowed.  Draw diagrams in pencil.  Tracing paper is allowed.  Answer all questions.  You must answer the questions in the spaces provided.  Do all rough work in this booklet.  Cross through any work you do not want to be marked.  You must keep working until the end of the 55 minutes. Information  The results of this assessment will be reported back to parents/carers.  Test Analysis Question My Mark Max Mark 1 Equivalent Ratios 1 2 Solving one step equations 1 3 Expanding single bracket 1 4 Parts of a Circle 1 5 Percentage multipliers 1 6 Writing algebraic expressions 3 7 Solving Equations 5 8 Finding the nth term of a linear sequence 4 9 Factorising an expression 1 10 Perimeter and Area of Compound Shapes 4 11 Circumference and Area of a Circle 4 12 Constructing Triangles 3 13 Forming and using algebraic expressions 4 14 Fraction and ratio Problem 4 15 Area Problem 4 16 Prime factorisation 4 17 Nth term problem 2 18 Perimeter of shape involving circles 3 1 Which ratio is equivalent to 4:1? Circle your answer 1: 4 8: 2 4: 2 8: 1 2 Solve 𝑥 + 7 = 9 Circle your answer 𝑥 = 16 𝑥 = −2 𝑥=8 𝑥=2 3 Circle the expression equivalent to 4(2𝑥 + 3) 8𝑥 + 12 4𝑥 2 + 3 8𝑥 + 3 6𝑥 + 12 4 Circle the word that describes PQ. 𝑅𝑎𝑑𝑖𝑢𝑠 𝐶ℎ𝑜𝑟𝑑 𝐶𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝐴𝑟𝑐 5 Circle the calculation that increases 400 by 20% 400 × 1.2 400 × 2 400 × 120 400 × 0.2 6 Jack sent n texts last month. 6 (a) I sent 20 more Jack texts than Jack. Kim Write an expression for the number of texts Kim sent. Answer I sent twice as many Luke texts as Jack. 6 (b) Write an expression for the number of texts Luke sent. Answer Jack I sent 5 more texts than Megan. 6 (c) Write an expression for the number of texts Megan sent. Answer 7 (a) Solve 5𝑥 = 55 Answer 7 (b) Solve 2y  3 = 41 y= 7 (c) Solve 8𝑥 − 9 = 6𝑥 x= 8 Here are two sequences of numbers. Sequence A Sequence B 2 5 8 11 … 40 36 32 28 … 8 (a) Work out the nth term of Sequence A. Answer 8 (b) Write down two different numbers which are in both sequences. Answer and 9 Factorise 7x  7 Answer 10 (a) Here is a sketch of Aidan’s back garden. Back garden 3m Not drawn accurately 7m 8m 5m 10 m Work out the perimeter of the back garden. Answer m Front garden 10 (b) Aidan is paving all of his front garden. The sketch shows the paving stones he has laid so far. How many more paving stones does he need to lay? Answer 11 A circle has radius 5 cm Not drawn accurately 5 cm 11 (a) Work out the circumference of the circle. Give your answer to 1 decimal place. Answer cm 11 (b) Work out the area of the circle. Give your answer to 1 decimal place. Answer cm2 12 Not drawn accurately 55 30 8 cm Draw the triangle accurately in the space below. 13 A floor tile measures xcm by x + 10cm Not drawn x + 10 cm accurately x cm Some of these tiles are laid out in a pattern as shown. Not drawn accurately 13 (a) The pattern is 4 tiles wide. Write an expression for the width of the pattern in terms of x. Answer cm 13 (b) The pattern is 3 tiles long. Write an expression for the length of the pattern in terms of x. Answer cm 13 (c) The pattern of 12 tiles is a square. Find the value of x. Answer 14 Emma has 400 balloons at her party. The balloons are pink, blue, yellow or white. A quarter of the balloons are white. There are twice as many pink balloons as white balloons. The ratio of pink balloons to yellow balloons is 10 : 1 How many blue balloons are there? Answer 15 A circle fits exactly inside a square. The radius of the circle is 5cm Not drawn accurately Work out the shaded area to 1 decimal place. Give the units of your answer. Answer 16 70 written as the product of prime factors is 257 16 (a) Write 84 as the product of prime factors in index form Answer 16 (b) Work out the highest common factor (HCF) of 84 and 70 Answer 16 (c) Work out the least common multiple (LCM) of 84 and 70 Answer 17 Here is a sequence of patterns. Find a formula for the number of circles in the nth term of this sequence. 21 32 43 54 Answer 18 A small semi-circle is cut out of a larger semi-circle. Work out the perimeter of the shaded shape correct to 1 decimal place. Answer cm END OF TEST