Maths 11+ Practice Test

If you need 6 apples to make a pie, how many pies can be made with 125 apples? __________

Answer explanation

To find out how many pies can be made, divide the total number of apples by the number of apples needed per pie: 125 apples ÷ 6 apples/pie = 20.83. Since you can't make a fraction of a pie, you can make 20 pies.

In the number 58 470, the digit 4 in this number has a value of 400. What is the value of the digit 8? __________

Answer explanation

In the number 58,470, the digit 8 is in the thousands place. Therefore, its value is 8,000.

A plank is 4 m 6 cm long. It is cut in half. How long is each piece? __________

Answer explanation

The plank is 4 m 6 cm long, which is 406 cm. When cut in half, each piece is 406 cm ÷ 2 = 203 cm long. Therefore, each piece is 2 m 3 cm long.

Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is 10.5 m long. How long is the hall on her plan? __________ cm

Answer explanation

To find the length of the hall on the plan, use the scale: 4 cm represents 5 m. The hall is 10.5 m long. Set up a proportion: (4 cm / 5 m) = (x cm / 10.5 m). Solving gives x = 8.4 cm. Thus, the hall is 8.4 cm long on her plan.

Mike thought of a number. He halved it, then added 9. The answer was 45. What number did Mike think of? __________

Answer explanation

Let the number be x. Halving it gives x/2. Adding 9 results in x/2 + 9 = 45. Subtracting 9 from both sides gives x/2 = 36. Multiplying by 2, we find x = 72. Thus, Mike thought of the number 72.

Circle the group of numbers below that are all multiples of either 3 or 5.

• 8, 10, 12

• 12, 14, 15

• 15, 18, 20

• 18, 20, 22

• 20, 24, 26

Answer explanation

The correct choice is 15, 18, 20. All these numbers are multiples of either 3 or 5: 15 (5x3), 18 (3x6), and 20 (5x4). The other groups contain numbers that are not multiples of 3 or 5.

A holiday costs £360 for an adult. It is £150 less for a child. How much is it for three adults and two children to go? __________

Answer explanation

The cost for a child is £360 - £150 = £210. For three adults: 3 x £360 = £1080. For two children: 2 x £210 = £420. Total cost: £1080 + £420 = £1500.

Circle the number with the largest value.

• 6.03

• 5.05

• 6.10

• 5.99

• 6.09

Answer explanation

To find the largest value, compare the numbers: 6.03, 5.05, 6.10, 5.99, and 6.09. The number 6.10 is greater than all the others, making it the largest value.

In the equation 6a + 7 = 55 – 2a, what is a? __________

Answer explanation

To solve for a, first combine like terms: 6a + 2a = 55 - 7. This simplifies to 8a = 48. Dividing both sides by 8 gives a = 6.

Here are some scores in a test: 11, 18, 9, 1, 6, 15, 3. What is the mean? __________

Answer explanation

To find the mean, add all the scores: 11 + 18 + 9 + 1 + 6 + 15 + 3 = 63. Then divide by the number of scores (7): 63 / 7 = 9. Therefore, the mean is 9.