Question
(a) Write down
(i) the number twenty seven million, three hundred and sixty thousand and forty five in figures,
…………………………………………
(ii) the six factors of 20,
…………, …………, ………… , …………, ………… , …………
(iii) a fraction that is equivalent to\( \frac{7}{9},\)
…………………………………………
(iv) a prime number between 30 and 40.
…………………………………………
(b) For each statement, insert one pair of brackets to make it correct.
(i) \(17-3\times 5-3=11\)
(ii) \(3+2^{2}-4=21\)
(c) Find \(\sqrt[3]{4913}\)
…………………………………………
Answer/Explanation
(a)(i) 27360045
(ii) 1, 2, 4, 5, 10, 20
(iii)\(\frac{7k}{9k} \) where \(k\neq 1\)
(iv) 31 or 37
(b)(i) 17 – 3 × (5 – 3) = 11
(ii)\( (3 + 2)^{2} – 4 = 21\)
(c) 17
Question
(a) Write down
(i) the number 604925 in words,
……………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………… [1]
(ii) a prime number between 50 and 60,
…………………………………………
(iii) the value of \(999^{\circ}\).
(b) Find
(i) the smallest multiple of 7 that is greater than 100,
…………………………………………
(ii) the largest cube number that is less than 100,
…………………………………………
(iii) the six factors of 45,
……………. , ……………. , ……………. , ……………. , ……………. , …………….
(iv) an irrational number between 6 and 7.
Answer/Explanation
(a)(i) Six hundred (and) four thousand, nine
hundred (and) twenty five
(ii)53 or 59
(iii)1
(b)(i) 105
(ii) 64
(iii) 1, 3, 5, 9, 15, 45
(iv)Any irrational number between 6 and 7
Question
(a) Write one hundred and twenty thousand and twenty in figures.
………………………………………….
(b) Find the value of\( \sqrt{3481}.\)
………………………………………….
(c)
(i) Write down the fraction of the rectangle that is shaded.
………………………………………….
(ii) Find the percentage of the rectangle that is not shaded.
……………………………………….%
(d) Write these numbers in order, starting with the smallest.
27% \( \frac{5}{17}\) 0.268 \(\frac{7}{29}\)
……………….. <……………….. <……………….. <………………..
(e) Write 0.3728 correct to 1 decimal place.
…………………………………………
(f) Write down the value of \(19^{\circ}\)
…………………………………………..
(g) The height, h metres, of a tower is 128m, correct to the nearest metre.
Complete the statement about the value of h.
\(……………… \leq h< ………………\)
(h) Find the highest common factor (HCF) of 126 and 180.
………………………………………….
(i) Write down an irrational number with a value between 6 and 7.
………………………………………….
Answer/Explanation
(a) 120 020
(b) 59
(c)(i)\(\frac{5}{8}\)
(ii) 37.5
(d) \(\frac{7}{29}\) 0.268 27% \( \frac{5}{17}\)
(e) 0.4
(f) 1
(g) 127.5 128.5
(h) 18
(i) Any irrational number between 6 and 7