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YEAR 7 and 8 MATHEMATICS REVISION, SUMMER, LEVEL 2 Paper 1: Non-Calculator paper (60 minutes) Paper 2: Calculator paper (60minutes) Equipment: pen, pencil, rubber, ruler, scientific calculator, pair of compasses, protractor The examinations will be based on the ISEB 13+ Common Entrance Syllabus The following document is an essential revision guide, which was given to pupils earlier in the year; https://www.iseb.co.uk/getmedia/a28da31f-b701-45a6-b3e3-305d982700b3/Syllabus-CECASE-Mathematics.pdf.aspx?ext=.pdf Pupils have been completing personalised revision programmes this term and will be familiar with the particular areas of the syllabus for consolidation. The check list below offers suggested topics to focus on. 1. 2. 3. 4. 5. 6. Negative numbers 11. Probability Equations 12. Area Approximations 13. Scatter diagrams Polygons 14. Ordering decimals Pie charts 15. Forming equations Fractions, decimals and 16. Calculations with mixed numbers percentages 17. Plotting lines 7. Enlargement 18. Sequences 8. Scatter diagrams 19. Circles 9. 3-figure bearings 20. Distance, speed, time 10. Long division Revision aids include: classwork books, practice papers, syllabus summaries and work sheets, Galore Park 2 text book, ISEB miniature revision guide and blue Year 8 Lower ISEB mixed maths exercises book. Some handy hints; Paper 1 – Non-calculator 1. Types of numbers, Products of prime numbers 2. Multiplying large numbers, Multiplying & dividing by powers of 10 3. Metric conversions Find the product of 5 and 12 Write 100 as a product of its prime factors. (L2 What is the largest odd number which is a factor of 100?) How many months in 25 years? 345 x 12 = 4140, use this fact to find 3.45 x 12 (L2 Find 4140 ÷ 0.6) Write 3 ¾kg in grams 4. 5. 6. 7. 8. 9. (L2 Write 60g as a percentage of 1kg) Negative numbers It is 3°C in London. What will the new temperature be if this drops by 15°C? (L2 What is -52? Percentage conversions to fractions Write 75% as a fraction. and decimals (L2 What is 3/8 as a decimal?) Mean, median, mode and range of a The mode of 4 numbers is 3, the mean is 4. set of data What is the missing number? 2, 3, 3, and ? (L2 What is the range of the number of days in a month in a leap year in the British calendar?) Addition, subtraction, multiplying and I spend £3.79. What change do I receive dividing decimals from a £20 note? Buns cost 75p. How many can I buy for £5? (L2 USB memory sticks cost £4.79 each. How much would it cost to buy 15? VAT is charged at 20%. If the price of an item including VAT is £6.24, what is the net cost of the item?) Finding fractions of amounts Find 5/6 of £42.00 (L2 What is the difference between ¾ of 16 and ½ of 20?) Algebra: solving equations, expressing Solve 3y + 2 = 8 sequences algebraically, substitution A sequence begins 5, 8, 11, 14, … what is the next term? How do I find the nth term? If a = 4 and b = -1, what is ab? (L2 What is 2b ÷ a?) Paper 2 - Calculator 1. Finding percentages 2. Approximations: Rounding, Decimal places, Significant figures 3. Conversion graphs 4. Finding angles, Parallel lines Find 67% of £190 (clue: 0.67 x 190 – use 2dp) (L2 Increase £3.00 by 35%) Write 65.58 to the nearest whole number, to 1 decimal place and to 3 significant figures. Plot and read graphs using lines with arrows to show where you take your readings. Know that angles on a straight line + up to 180°, angles in a circle, or a quadrilateral + up to 360°, rules for finding angles on parallel lines (see PowerPoint) 5. Area of compound shapes 6. Probability 7. Quadrilaterals 8. Sequences 9. Ratio 10. Algebra: multiplication of bracket by a single term, simplifying expressions Divide shape into rectangles, squares or triangles. Area of triangle = ½ base x height Use fractions, decimals and a probability scale to describe probability. Name 6 different quadrilaterals (4 sides) Calculate missing angles in a quadrilateral. (L2 Accurately construct a rhombus / parallelogram and know the properties.) Find the 3 next terms in this sequence: 4, 7, 10, 13, 16…. (L2 What is the 15th term in that sequence?, what is the rule to find the nth term?) Beads are placed on a necklace in the ratio 3 black : 1 white. A necklace has 15 black beads, how many white beads? (L2 If the necklace has 44 beads in total, how many are black?) Multiply out the bracket 7 ( x + 3) Simplify 3s + 4r – s + 5r (L2 Multiply out the bracket and simplify 8p – 2(2p + 4) Factorise 14j – 7t Simplify 5d2 x 3ed )