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United Kingdom
equence below is to start at 4 and multiply by 10 each time, Work out the next term in the sequence. \( 4,40,400, \ldots \)
Arithmetic Jan 21, 2025
\( -1, \quad 2, \quad 7, \quad 14, \quad 23, \quad \ldots \) a) Work out the \( n^{\text {th }} \) term rule for this sequence. b) At what position does the term with value 62 appear in this sequence?
Pre Algebra Jan 21, 2025
e start of a quadratic sequence is shown below. What is the \( n^{\text {th }} \) term rule for the sequence? \( -5,-2, \quad 3, \quad 10, \quad 19, \quad \ldots \)
Algebra Jan 21, 2025
A quadratic sequence begins \( 9, \quad 12, \quad 17, \quad 24, \quad 33, \quad \ldots \) What is the \( n^{\text {th }} \) term rule for this sequence? b) Work out the \( 10^{\text {th }} \) term in the sequence.
Algebra Jan 21, 2025
A farmer has 20 boxes of eggs. There are 6 eggs in each box. Write, as a ratio, the number of eggs in two boxes to the total number of eggs. Give your answer in its simplest form.
Arithmetic Jan 21, 2025
13). \( \begin{array}{l}2 y+5 x=31 \\ 7 y-2 x=11\end{array} \)
Algebra Jan 21, 2025
Jane writes down the prime decomposition of 224 as \( 2^{a} \times b \). Calculate the values of \( a \) and \( b \).
Pre Algebra Jan 21, 2025
\( 308=2^{2} \times 7 \times 11 \) \( 3430=2 \times 5 \times 7^{3} \) Vork out the highest common facto
Arithmetic Jan 21, 2025
Leah has is sweets. Fhe also has 16 sweets. Leah gives Enc \( x \) swoets. Leah then eats 7 of her swoets. Enc then eats half of his swoets. Write expressions for the number of sweets Leah and Eric now have.
Algebra Jan 21, 2025
What number has the prime decomposition \( 5^{2} \times 61 \) ?
Arithmetic Jan 21, 2025
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