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Number mainly – Grade that question Name: Describe the work at each grade: D Grade BiDMAS + and – fractions Calculate with negative numbers Find the % of a number Convert between fractions and decimals C Grade Multiply and divide fractions Multiply and divide decimals Estimate by rounding to 1 s.f. C Grade A/A* Grade Write a number as a product of its prime factors LCM and HCF Find the nth term of a linear sequence Convert a recurring decimal to a fraction Scale each question from 1 (can’t do it) to 5 (super confident, this is easy) Answer Q Q Grade Question Grade Question 2. 12. Find the Highest Common Factor of 75 and 90. The number 40 can be written as 2m × n, where m and n are prime Find the Lowest Common Multiple of 75 and 90. numbers. Find the value of m and the value of n. (Hint: do the prime factor decomposition first) 3. 5. 7. 13. 7 1 Work out 1 × 5 8 3 Work out 3 Convert the recurring decimal 2.14 5 to a fraction. A jacket costs £50 plus VAT at 171/2%. Work out the total cost of the jacket. 8. 2 Work out the value of 1 3 2 15. Change 17. 18. 3 4 Give your answer as a fraction in its simplest form. Answer 1 4 ÷2 2 5 3 to a decimal. 11 Linda gets 24 out of 40 in a science test. Write 24 out of 40 as a percentage. x is an integer such that 1 x 9 Prove that 0.0 x x 99 9. 19. (i) 2×3+4 (ii) 10 – 2 × 5 Here are the first 5 terms of an arithmetic sequence. 6, 11, 16, 21, 26 (iii) 16 ÷ (2 × 4) Find an expression, in terms of n, for the nth term of the sequence. 10. x and y are different prime numbers. (i)Write down the Highest Common Factor (HCF) of the two expressions x2y xy2 (ii) Write down the Lowest Common Multiple (LCM) of the two expressions x2y xy2 The first four terms of an arithmetic sequence are 21 17 13 9 Find, in terms of n, an expression for the nth term of this sequence. 20. p is a prime number not equal to 7 Write down the Highest Common Factor (HCF) of 49p and 7p2 Use your calculator to work out the value of (7.91 3 81 ) 4.32 6.23 1.491 Give your answer correct to 3 significant figures. Using the information that 65 × 423 = 27 495 Estimate the value of find the value of 813 19.8 97.6 (i) 0.65 × 4230 (ii) 274.95 ÷ 650