Percentage word problems worksheet for UK students, including real-life scenarios like scoring points, saving money, running distances, reading time, aquarium fish, and sharing chocolates.

Here are the step-by-step solutions for each problem on the worksheet.

1) Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?

* Step 1: Find 10% of Captain's score (120).
To find 10%, you divide by 10.
$120 \div 10 = 12$
* Step 2: Add that amount to Captain's original score because Tyger scored *more*.
$120 + 12 = 132$

2) Frazer is saving up for a new laptop. He has saved 60% of the amount so far. If the laptop costs £320, how much more does he need to save?

* Step 1: Figure out what percentage is left to save.
The total cost is 100%. He has saved 60%.
$100\% - 60\% = 40\%$
So, he needs to save the remaining 40%.
* Step 2: Calculate 40% of £320.
First, find 10% of 320:
$320 \div 10 = 32$
Then, multiply by 4 to get 40%:
$32 \times 4 = 128$

3) Sally sprints 300 metres in a minute. Quadra runs 20% further than Sally in the same time. How far did Quadra sprint?

* Step 1: Find 20% of Sally's distance (300 metres).
First, find 10%:
$300 \div 10 = 30$
Then double it to get 20%:
$30 \times 2 = 60$
* Step 2: Add that extra distance to Sally's distance.
$300 + 60 = 360$

4) Newton spends 25% of his free time each day reading. If he spends 40 minutes reading, how much free time does he have in hours and minutes?

* Step 1: Understand the relationship.
25% is the same as the fraction $\frac{1}{4}$. This means the 40 minutes he spent reading is one-quarter of his total free time.
* Step 2: Find the total free time in minutes.
Multiply the reading time by 4.
$40 \times 4 = 160$ minutes.
* Step 3: Convert minutes to hours and minutes.
There are 60 minutes in an hour.
$60 + 60 = 120$ minutes (which is 2 hours).
$160 - 120 = 40$ minutes left over.
So, the total time is 2 hours and 40 minutes.

5) There are some fish in an aquarium. 40% of the fish are angelfish. If there are 12 angelfish in the aquarium, how many fish altogether?

* Step 1: Set up the equation.
We know that 40% of the total number of fish equals 12.
* Step 2: Find 10% first.
Since $40\% = 12$, we can divide by 4 to find 10%.
$12 \div 4 = 3$
So, 10% of the fish is 3 fish.
* Step 3: Find 100% (the total).
Multiply the 10% value by 10.
$3 \times 10 = 30$

6) Sally buys a tin of chocolates. She gives a quarter of the chocolates to Tyger, 10% to Newton, and 15% to Frazer. She keeps the remaining 15 chocolates for herself. How many chocolates were in the tin?

* Step 1: Convert all parts to percentages to make them easier to add.
* Tyger gets a quarter ($\frac{1}{4}$), which is 25%.
* Newton gets 10%.
* Frazer gets 15%.
* Step 2: Add up the percentages given away.
$25\% + 10\% + 15\% = 50\%$
* Step 3: Determine Sally's share.
The whole tin is 100%. If she gave away 50%, she kept the other 50%.
$100\% - 50\% = 50\%$
* Step 4: Calculate the total.
We know Sally's 50% share equals 15 chocolates.
If half the tin is 15 chocolates, then the whole tin (100%) is double that amount.
$15 \times 2 = 30$

Final Answer:
1) 132 points
2) £128
3) 360 metres
4) 2 hours and 40 minutes
5) 30 fish
6) 30 chocolates