Lesson Worksheet: Mixed Calculations Eleven Plus
In this worksheet, we will practice solving complex problems involving the four basic arithmetic operations.
Q1:
The park is 700 m away from Ayesha’s house. The length of a complete circuit of the park is equal to half the distance from the park to her house. Ayesha jogs from her house to the park, five times round the park, and then back home.
How far does Ayesha jog in total?
- A3 300 m
- B3 150 m
- C4 900 m
- D2 450 m
- E2 900 m
Q2:
Two model trains set off in a race along parallel straight tracks. The green train travels at a constant speed of 6.5 metres per second and the red train travels at a constant speed of 5 metres per second.
How far behind is the red train after 7 seconds?
- A15 metres
- B9.5 metres
- C11 metres
- D10.5 metres
- E1.5 metres
Q3:
Darren is a keen cyclist.
He cycles 6 km every weekday, cycles three times as far on Saturday, and has a rest day on Sunday.
What is the total distance that Darren cycles in one week?
- A45 km
- B66 km
- C42 km
- D39 km
- E48 km
Q4:
Tinned tomatoes cost the same as tinned baked beans.
Tinned lentils cost twice as much as tinned tomatoes.
Tinned soup costs three times as much as tinned tomatoes.
Four of the given selections below cost the same.
Which of the following does not cost the same as the rest?
- A1 tin of lentils and 1 tin of soup
- B1 tin of tomatoes, 1 tin of baked beans, and 1 tin of soup
- C2 tins of baked beans and 1 tin of lentils
- D1 tin of soup and 2 tins of baked beans
- E2 tins of lentils and 1 tin of tomatoes
Q5:
A tin of beans weighs 390 g. A tin of sweetcorn weighs 325 g. Box A contains 9 tins of beans. Box B contains 8 tins of sweetcorn.
How much more does box A weigh than box B?
- A455 g
- B910 g
- C390 g
- D65 g
- E585 g
Q6:
Two radio-controlled cars set off in a race along a straight track. Car A travels at a constant speed of 5.5 metres per second and car B travels at a constant speed of 8 metres per second.
How far ahead is car B after 5 seconds?
- A7.5 m
- B2.5 m
- C15 m
- D13 m
- E12.5 m
Q7:
A straight fence is built by placing fence posts at intervals of 5 m and connecting fencing panels in between. To find the length of the fence in metres, you subtract 1 from the number of fence posts and multiply this number by 5.
What is the length of a fence that has 22 fence posts?
- A26 m
- B105 m
- C110 m
- D100 m
- E121 m
Q8:
A cafe menu is shown below. If a party of 5 or more people order meals, they get an overall discount of £5.
| Meal | Cost |
|---|---|
| Salad | £9 |
| Soup and roll | £7.50 |
| Pizza | £11.50 |
A party of 6 people goes to the cafe and 3 have salad, 2 have soup and a roll, and 1 has pizza.
What is the total bill?
- A£48.50
- B£47
- C£52
- D£58.50
- E£53.50
Q9:
Dora takes her dog for regular walks. She walks 4 kilometres every day, except Fridays and Saturdays, when she only has time to walk half this distance.
What is the total distance that Dora walks her dog in a week?
- A26 km
- B28 km
- C32 km
- D22 km
- E24 km
Q10:
Apples cost the same as oranges.
Peaches cost three times as much as apples.
Four of the following selections cost the same.
Which one does not cost the same as the rest?
- 2 apples, 2 oranges, and 1 peach
- 2 peaches and 1 orange
- 3 apples and 4 oranges
- 1 peach and 3 apples
- 3 apples, 1 peach, and 1 orange
- ASelection A
- BSelection B
- CSelection C
- DSelection D
- ESelection E
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