Question 1

Increase $	ext{£50 000}$ by  $3\%.$

Accepted Answer

$	ext{£51 500}$

Answer

$	ext{£52 500}$

Answer

$	ext{£52 000}$

Answer

$	ext{£53 500}$

Question 2

A puddle of water has a volume of $4$ litres.
During a sunny spell, the puddle decreases to a volume of $2.5$ litres.
By what percentage has the volume of the puddle decreased?

Accepted Answer

$37.5\%$

Answer

$30\%$

Answer

$35\%$

Answer

$42.5\%$

Question 3

Harvey draws a square with area $	ext {16 cm}^2$.
He then rubs out the square and draws a new one with area $	ext {25 cm}^2.$
Work out the percentage increase in the side length of his square.

Accepted Answer

$25\%$

Answer

$23\%$

Answer

$31\%$

Answer

$17\%$

Question 4

The table shows Kenny’s weekly test scores in English and Maths. The total of Kenny’s English scores is $15\%$ lower than the total of his Maths scores.

Work out the missing English score in the table.

Accepted Answer

$65$

Answer

$58$

Answer

$55$

Answer

$42$

Question 5

The length of a six-year-old iguana is 22 inches.
As a hatchling, the iguana’s length was 6 inches.
By what percentage has the length of the iguana increased? Give your answer to 3 significant figures.

Accepted Answer

$267\%$

Answer

$195\%$

Answer

$219\%$

Answer

$301\%$

Question 6

A blockbuster movie initially plays for 3 hours and 15 minutes.
However, after some editing, the playing time is 3 hours.
Work out the percentage decrease in the playing time of the movie.

Accepted Answer

$7.69\%$

Answer

$9.42\%$

Answer

$5.12\%$

Answer

$11.6\%$

Question 7

A number is multiplied by 1.4. By what percentage does the number increase?

Accepted Answer

$40\%$

Answer

$4\%$

Answer

$0.4\%$

Answer

$400%$

Question 8

An egg’s mass decreases by 11% when you remove its shell.
After removing its shell, an egg weighs 44.5 grams.
Work out the mass of the egg before removing its shell.

Accepted Answer

$	ext {50 grams}$

Answer

$	ext {30 grams}$

Answer

$	ext {60 grams}$

Answer

$	ext {40 grams}$

Question 9

In a cricket match, the bowler releases the ball at a speed of 90 miles per hour.
The next ball bowled is 7% slower.
Use a multiplier method to work out the speed of the slower ball.

Accepted Answer

$	ext {83.7 mph}$

Answer

$	ext {61.1 mph}$

Answer

$	ext {68.5 mph}$

Answer

$	ext {72.1  mph}$

Question 10

A number is increased by $50\%,$ before being decreased by $25\%.$
Work out the percentage by which the original number has increased.

Accepted Answer

$12.5\%$

Answer

$25\%$

Answer

$32.5\%$

Answer

$20\%$

Question 11

The numerator of a fraction is increased by $48\%$ whilst its denominator is decreased by $87 \frac{1}{2}\%.$
The resulting fraction is $\frac{ 37 }{ 42 }$. Work out the value of the original fraction in its simplest form.

Accepted Answer

$\frac{ 25 }{ 336 }$

Answer

$\frac{ 11 }{ 231 }$

Answer

$\frac{ 8 }{ 75 }$

Answer

$\frac{ 51 }{ 525 }$

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