Question
(a) (i) 1 and 120 are factors of 120.
Write down another factor of 120.
(ii) Find the highest common factor of 120 and 900.
(b) 2 5 15 24 49 60 258 512
From the list, write down
(i) a multiple of 30,
(ii) a square number,
(iii) the cube root of 8.
(c) Give an example to show that the following statements are not true.
(i) An odd number multiplied by an even number gives an odd number.
(ii) The cube of a negative number is positive.
(d) Use < , > , or = to complete the following statements.
Each symbol may be used more than once.
(i) 0.5 ………………………….. \(\frac{3}{8}\)
(ii) 1.5 ………………………….. 105%
(iii) 0.78 ………………………… \(\frac{11}{14}\)
Answer/Explanation
Answer:
(a) (i) 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30,
40, 60.
(ii) 60
(b) (i) 60
(ii) 49
(iii) 2
(c) (i) Any correct example
(ii) Any correct example
(d) (i) >
(ii) >
(iii) <
Question
(a) (i) Write down all the factors of 22.
(ii) Write down a multiple of 13 between 30 and 50.
(b) 1 2 6 9 15 17 19 21 27
(i) Write down all the prime numbers in this list.
(ii) Write down a cube number from this list.
(c) (i) Write 0.0035 in standard form.
(ii) Calculate \((6.3 \times 10^6) \div (1.5 \times 10^2)\)
Write your answer in standard form.
Answer/Explanation
Answer:
(a) (i) 1, 2, 11, 22
(ii) 39
(b) (i) 2,17,19
(ii) 1 or 27
(c) (i) \(3.5 \times 10^{-3}\)
(ii) \(4.2 \times 10^4\)
Question
(a) 6 144 63 11 288 72 8
From the list, write down
(i) the multiple of 7,
(ii) the cube of 2,
(iii) the prime number,
(iv) the lowest common multiple (LCM) of 16 and 18.
(b) Without using a calculator explain why the square of 4.86 must be between 16 and 25.
(c) Find the value of
(i) \(4^7\).
(ii) \(12^0\)
(iii) \(8.3^2 + \sqrt{27}\)
(d) Write 90 as the product of its prime factors.
Answer/Explanation
Answer:
(a) (i) 63
(ii) 8
(iii) 11
(iv) 144
(b) \(4^2[=]16\) \(5^2[=]25\)
(c) (i) 16384
(ii) 1
(iii) 74.1 or 74.08 to 74.09
(d) \(2 \times 3^2 \times 5\) or \(2 \times 3 \times 3 \times 5\)