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Key stage 3 Fundamentals assessment Year seven and eight

Key stage 3 Fundamentals assessment Year seven and eight. Integers Powers and Roots Level 3 1) Which of these numbers are divisible by five: 15 , 42, 70, 195, 212, 99, 45 ? ………………………………….(2) Level 4 2 ) Writ e down the first six multiples of seven …………………………………………(3)

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Key stage 3 Fundamentals assessment Year seven and eight

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  1. Key stage 3 Fundamentals assessment Year seven and eight

  2. Integers Powers and Roots • Level 3 • 1) Which of these numbers are divisible by five: • 15, 42, 70, 195, 212, 99, 45 ? • ………………………………….(2) • Level 4 • 2)Write down the first six multiples of seven • …………………………………………(3) • 3) What is the eighth square number? • ………..(1) • 4) Find all the factors of 36 • …………………………………………………..(5) • 5) Write these numbers in ascending order: 7, -2, 0, -8, -1, 7, 13, -18 • ……………………………………………………………………….(2) • 6) Write down the first six prime numbers • ……………………………………………….(3)

  3. Level 5 • 7) What is the lowest common multiple of 9 and 12? • ..........(1) • 8) Find the highest common factor of 24 and 30 • …………(1) • 9) What is the value of ; • 7+ -8 • ………..(2) • (b) -7- -8 • ……….(2) • 10) What is the fourth cube number? • ……….(2) • Level 6 • 11) Evaluate each of the following: • -6 x -4 • ……….(1) • 48 ÷ -12 • ………(1) • 15 x -8 • ………(1)

  4. 12) Which is bigger: or ? Explain your answer. • …………(4) • 13) What number raised to the power of 3 is equal to 216? • ……………(2) • 14) Write the number 240 as a product of its prime factors • ……………………………(3) • Level 7 • 15) Evaluate • ………….(1)

  5. 16) Write the numbers 1080 and 1440 as a product of their prime factors. Use your answers to find the highest common factor and lowest common multiple of 1080 and 1440. • Hcf=…… lcm=.........(8)

  6. Written calculations • Level 3 • Find the answer to these sums • 1) 623 + 136 • ……….(2) • 2) 486 – 133 • ……….(2) • Level 4 • Evaluate the answers to these calculations • 4) 198 ÷ 3 • ………(2) • 5) 35 7 • ……..(2)

  7. 6) 374.37 + 46.8 • ………(2) • 7) 12 42 • ……..(3) • Level 5 • 8)312  43 • ……..(3) • 9) 611 ÷ 13 • ………(3)

  8. Level 6 • Calculate • 11) 3854 – 35.8 – 1.54 • ………(2) • 12) 34.7  0.23 • ……...(2) • 13) 151.8 ÷ 0.06 • ……...(2) • Level 7 • 14) 0.034 0.046 • ………….(3)

  9. Fractions decimals and percentages • Level 4 • Find four fractions that are equivalent to • …………………………………..(4) • 2)Write 75% as (a) a decimal, (b) a fraction • ………….. …………..(2) • Level 5 • 3) Write in its simplest form • ……….(2) • 4) Calculate • = • ……….(2) • 5) What is 10% of £70? • ………(2) • 6) What is 12% of £70? • ………(3)

  10. Level 6 • 7( A jacket cost £75, but is reduced by 10% in a sale. What is its new price? • ………..(3) • 8) Write 7/25 as a percentage. • ………..(2) • 9) Calculate • a, • ……….(3) • b, • ……….(3)

  11. Level 7 • 10) Calculate the following giving your answer in its simplest form: • …………(4) • 11) A pair of shoes are reduced from £55 to £37. What is the percentage reduction? • ………(3) • Level 8 • 12) A bike is reduced in a sale by 15% to £510. What was its original value? • ………(3)

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