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COMPLETE THIS BOOKLET OF GCSE QUESTIONS WITH YOUR ANSWERS AND WORKING OUT ON A SEPARATE PIECE OF PAPER WHEN NECESSARY THERE WLL BE A TEST ON SIMILAR QUESTIONS IN SEPTEMBER ALL THESE TOPICS HAVE ALREADY BEEN COVERED IN CLASS THE FOLLOWING TABLE MAKES THE TOPIC OF EACH QUESTION CLEAR AND GIVES A MATCHING CORBETT MATHS VIDEO FOR SUPPORT WHEN ANSWERING THE QUESTION. CORBETTMATHS.COM > VIDEOS AND WORKSHEETS Q. 1 2 3 4, 5 6 7 8, 9 10 11, 12 13 14 15 16 17, 18 19, 20 21 22 23 24 25 26 27,28 27, 28 Objective Addition and Subtraction of whole numbers Addition and Subtraction of decimals Area of rectangles Multiplication of whole numbers Multiplication of decimals Division of whole numbers Division of decimals Order of operations Multiples and Factors Multiples of a number (LCM) Ordering decimals Fraction of an amount Index laws Rounding Estimating Simplifying expressions Multiplying out brackets Factorising Forming and solving linear equations Expanding double brackets Factorising quadratics Finding the nth term rule Area of a circle and semi-circle Circumference of a circle Corbett Maths video 6, 205 90 45 94 98 92,93 211 220,216 218, 219 95 137 17 278, 279a 215 9 13 117 114/115 14 118 288 40, 47 60 1) Find the difference between 903 and 245. (2 marks) 2) Chloe has a ribbon 18 metres long. She cuts two pieces from the ribbon. The first piece was 11.28 metres long. The second piece was 2.6 metres long. How much ribbon is left? (3 marks) 3) A rectangle has length 23cm and width 45cm. Calculate its area. (2 marks) 4) Scott has a rope 8 metres long. He says, “I need 9 pieces each 0.89 metres long.” Will Scott have enough ribbon? Explain your answer. (3 marks) 5) Evaluate: (3 marks) a) 2 x 0.3 = b) 0.2 x 0.3 = c) 0.002 x 0.03 = 6) 788 students are going to be split into 4 groups. How many students are there going to be in each group? (1 mark) 7) Six friends are sharing £14.04. How much do they each get? (2 marks) 8) Evaluate: (2 marks) a) 5 + 3 x 6 b) 6 x 4 − 7 x 3 9) Put brackets in the following statements to make them true: (2 marks) a) 6 x 7 – 8 = 52 b) 4 + 3 x 7 – 1 =42 10) Here is a list of numbers: (3 marks) 6 10 11 16 24 30 40 (a) Write down a multiple of 20 (b) Write down a factor of 12 (c) Write down a prime number 11) A red light flashes every 3 seconds. A yellow light flashes every 8 seconds. A green light flashes every 11 seconds They all flash at the same time. After how many seconds will they next all flash at the same time? (2 marks) 12) Trains leave Bristol to Cardiff every 15 minutes to London every 21 minutes A train to Cardiff and a train to London both leave Bristol at 11am. At what time will a train to Cardiff and a train to London next leave Bristol at the same time? (3 marks) 13) Write these numbers from smallest to biggest. 0.92, 0.901, 0.99, 0.099, 0.909 (1 mark) 14) James earns £800 a month. He spends ¼ of this money on rent. James spends ⅖ of the money on food and bills. How much money has he left? (4 marks) 15) Simplify: (3 marks) a) m3 x m4 b) n8 ÷ n4 c) (a3)6 16) a) b) c) d) e) Round: (5 marks) 56.352 to 1 decimal place 8.97 to 1 decimal place 5607012 to three significant figures 0.123456 to four significant figures 0.961 to one significant figure 17) Work out an estimate for the value of 7.1 x 97 (2 marks) 18) Estimate the total cost of 31 televisions at £196.50 each and 19 DVD players at £50.99 each. Show clearly how you obtained your answer. (3 marks) 19) Simplify 8c + 2p - 2c + 4p (2 marks) 20) Write an expression, in terms of x, for the perimeter of this shape. Give your answer in its simplest form. (3 marks) 21) Expand: (3 marks) a) 4(y + 2) b) 5y(2y + 1) c) -2(y - 4) 22) Form and solve an equation to work out the value of x: (4 marks) 23) Expand and simplify: (6 marks) a) (x + 5)(x - 1) b) (w - 2)(w - 7) 24) Factorise fully: (3 marks) a) 15y + 20 b) 6x2 – 9x 25) Factorise: (6 marks) a) x² + 5x + 6 b) x² + 2x – 8 c) x² - 9 26) A sequence of numbers is shown. 2 9 16 23 30 (a) Find an expression for the nth term of the sequence. (2 marks) (b) Find the 100th term in the sequence. (1 mark) 27) Work out the (i) area and (ii) circumference of this circle. Give your answers in terms of π and write the correct units for your answers. (4 marks) 28) A circle has a circumference of 40cm. Work out the diameter of this circle (in terms of π). Then work out the area of the circle. (4 marks)