11plus Daily Free Practice Paper – 17 May 2024

Table of Contents

Question 1

Which of these calculations has the highest answer?
A. 4 × (-2)²
B. 4 – 2²
C. 4 ÷ (-2)²
D. -4 × (-2)²
E. -4 – (-2)²

Solution:

A. 4 × (-2)² = 4 × 4 = 16
B. 4 – 2² = 4 – 4 = 0
C. 4 ÷ (-2)² = 4 ÷ 4 = 1
D. -4 × (-2)² = -4 × 4 = -16
E. -4 – (-2)² = -4 – 4 = -8
Therefore, the calculation with the highest answer is A. 4 × (-2)² = 16

Question 2

If 12 inches = 1 foot
1 yard = 3 feet
How many inches in 17 yard?

Solution:

1 yard = 3 feet
1 foot = 12 inches
Therefore, 1 yard = 3 × 12 inches = 36 inches
To find the number of inches in 17 yards, we need to multiply the number of inches in 1 yard by 17.
17 yards = 17 × 36 inches = 612 inches
Therefore, there are 612 inches in 17 yards.

Question 3

Garry bought 20 metres of rope.
He gave a £20 note and
received £3.60 change.
How much did a metre cost?

Solution:

Garry paid £20 for 20 metres of rope and received £3.60 change.
Therefore, the total cost of the 20 metres of rope = £20 – £3.60 = £16.40
The cost of 1 metre of rope = Total cost ÷ Number of metres
Cost of 1 metre of rope = £16.40 ÷ 20 = £0.82
Therefore, a metre of rope cost £0.82.

Question 4

Here is train timetable.

Place Time
York 08:00 AM
Doncaster 08:45 AM
Stevenage 11:30 AM
Welwyn Garder City 12:00 PM
Potters Bar 12:30 PM
Finsbury Park 01:00 PM
London Kings Cross 01:30 PM

If the train is 25 minutes late leaving York,
What time should it arrive in London King’s Cross?

Solution:

The train is 25 minutes late leaving York, which means it will arrive 25 minutes late at each subsequent station.
The train is scheduled to arrive at London Kings Cross at 01:30 PM.
Therefore, the train will arrive 25 minutes late at 01:30 PM.
The train will arrive at London Kings Cross at 01:55 PM.
Therefore, the train will arrive at London Kings Cross at 01:55 PM.

Question 5

David is 12 and a half year old. His brother is exactly 4 year and 8 months younger than him. How old is his brother?

Solution:

David is 12 and a half years old.
His brother is 4 years and 8 months younger than him.
Therefore, his brother is (12 and a half – 4 years – 8 months) old.
His brother is 7 years 10 months old.
Therefore, David’s brother is 7 years and 10 months old.

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