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