Free Printable Recap sequences, indices, proportion

1.

Tick the expression that is not equivalent to $8^{-\frac{2}{3}}$

a)

$\frac{1}{8^{\frac{2}{3}}}$

b)

$\left(8^{\frac{2}{3}}\right)^{-1}$

c)

$\frac{1}{2^3}$

d)

$\frac{1}{4}$

2.

Which equation goes with the following:-

"y is directly proportional to the square of x"

a)

$y=k\sqrt{x}$

b)

$y=kx^2$

c)

$y=\frac{k}{x^2}$

d)

$y=\frac{k}{\sqrt{x}}$

3.

Which equation goes with the following:-
"y is inversely proportional to the square root of x"

a)

$y=k\sqrt{x}$

b)

$y=kx^2$

c)

$y=\frac{k}{x^2}$

d)

$y=\frac{k}{\sqrt{x}}$

4.

If x is inversely proportional to y, then as y increases x ....

a)

is constant

b)

increases

c)

decreases

d)

stays the same

5.

y is in inverse proportion to x. Given that y = 6 when x = 3, find an equation that connects x to y

a)

y = 2x

b)

$y=\frac{2}{x}$

c)

y= 18x

d)

$y=\frac{18}{x}$

6.

In the following formula, what does n stand for?
$u_n=\ a\ +\ \left(n-1\right)d$

a)

the first term

b)

the common difference

c)

the nth term

d)

the position number

7.

Which of the following formulae could be used to find the sum of the first 50 terms of
15+18+21+24+ ...

a)

$u_n=\ a\ +\ \left(n-1\right)d$

b)

$s_{n_{ }}=\ \frac{n\left(a+l\right)}{2}$

c)

$s_n=\frac{n\left(2a\ +\ \left(n-1\right)d\right)}{2}$

d)

$s_n=\frac{50\left(2\times15\ +\ \left(50-1\right)3\right)}{2}$

Recap sequences, indices, proportion

Total questions: 7

Worksheet time: 8mins

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