Numbers - Types of Numbers
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calculator Simple Total: 1 mark
Find the lowest common multiple (LCM) of \(160\) and \(180\).
Answer
\(1440\)
calculator Simple Total: 2 marks
Write \(180\) as a product of its prime factors.
Answer
\(180 = 2^{2} \times 3^{2} \times 5\)
non-calculator Simple Total: 1 mark
Write down a prime number between \(20\) and \(30\).
Answer
\(23\)
non-calculator Simple Total: 1 mark
Write the number \(83\,042\) in words.
Answer
Eighty-three thousand and forty-two
non-calculator Simple Total: 1 mark
Write down the value of the \(7\) in the number \(346\,709\).
Answer
\(700\)
non-calculator Simple Total: 1 mark
From the list of numbers, write down \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline 0 & 1 & 8 & 27 & 39 & 51 & 59 & 81 \\ \hline \end{array} \]
(a)
a square number
(b)
the value of \(39^{0}\)
(c)
a prime number
Answer
(a)
\(81\)
(b)
\(1\)
(c)
\(59\)
non-calculator Simple Total: 1 mark
Two numbers have a sum of \(-2\) and a product of \(-15\). Work out the two numbers.
Answer
\(3\) and \(-5\) \[ 3 + (-5) = -2 \] \[ 3 \times (-5) = -15 \]
non-calculator Simple Total: 1 mark
From the list of numbers \[ \begin{array}{|c|c|c|c|c|c|c|} \hline 16 & 19 & 27 & 35 & 36 & 45 & 64 \\ \hline \end{array} \] write down one number that is
(a)
a multiple of \(7\)
(b)
both a square number and a cube number
(c)
a prime number.
Answer
(a)
\(35\)
(b)
\(64\)
(c)
\(19\)
non-calculator Simple Total: 2 marks
Find the highest common factor (HCF) of \(66\) and \(110\).
Answer
\(22\)
non-calculator Simple Total: 1 mark
\(n\) is an odd number. Write down the values of \(n\) that satisfy \(7 < n \leq 15\).
Answer
\(9,\ 11,\ 13,\ 15\)
non-calculator Simple Total: 1 mark
From the list of numbers \[ \begin{array}{|c|c|c|c|c|c|c|} \hline 0.25 & 3.142 & \sqrt{3} & -3 & 24 & -0.4 & 1.2 & -\dfrac{1}{4} \\ \hline \end{array} \] Complete each statement with a number from the list.
(a)
................. is a natural number.
(b)
................. is an irrational number.
(c)
................. is the reciprocal of \(4\).
Answer
(a)
\(24\)
(b)
\(\sqrt{3}\)
(c)
\(0.25\)
non-calculator Simple Total: 1 mark
Write down the reciprocal of \(\dfrac{2}{3}\).
Answer
\(\dfrac{3}{2}\)
non-calculator Simple Total: 1 mark
From the list \[ \sqrt{2} \qquad 5.85 \qquad 4.1^{2} \qquad \pi \] Write down all the numbers in this list that are irrational.
Answer
\(\sqrt{2},\ \pi\)
non-calculator Simple Total: 1 mark
Here are five number cards. \[ \begin{array}{|c|c|c|c|c|} \hline 1 & 2 & 6 & 7 & 8 \\ \hline \end{array} \] Place two cards side-by-side to show
(a)
a two-digit multiple of
(b)
a two-digit square number
(c)
a two-digit cube number
Answer
(a)
\(21\)
(b)
\(81\)
(c)
\(27\)
non-calculator Simple Total: 1 mark
\[ \begin{array}{c} \text{Here are five number cards.} \\[6pt] \begin{array}{|c|c|c|c|c|} \hline 1 & 2 & 6 & 7 & 8 \\ \hline \end{array} \\[10pt] \text{Place two cards side-by-side to show} \end{array} \]
(a)
a\ two-digit\ multiple\ of\ 7
(b)
a\ two-digit\ square\ number
(c)
a\ two-digit\ cube\ number
(d)
a\ two-digit\ prime\ number
Answer
(a)
\(21\)
(b)
\(81\)
(c)
\(27\)
(d)
\(61\)