Year 11 Maths WIN Intervention 2024

Here are five temperatures in °C.

4 1 -6 0 -2

Write these temperatures in order, starting with the lowest.

• -6, -2, 0, 1, 4

• 0, 1, -2, 4, -6

• -2, -6, 0, 1, 4

• 4, 0, 1, -2, -6

Write these numbers in order of size, starting with the smallest: 0.45, 8, 3, 40%.

• 0.45, 3, 8, 40%

• 3, 8, 0.45, 40%

• 40%, 0.45, 3, 8

• 0.45, 40%, 3, 8

Answer explanation

To compare the numbers, convert 40% to a decimal: 40% = 0.40. Now we have 0.40, 0.45, 3, and 8. In order of size, they are 0.40, 0.45, 3, and 8. Thus, the correct order is 40%, 0.45, 3, 8.

Olga writes a list of five numbers. The median of the numbers is 12. The mode of the numbers is 11. The range of the numbers is 10. The sum of the numbers is 75. Find the five numbers in Olga’s list.

Answer explanation

Since the mode is 11, there should be more than one 11.

Since the median is 12, 12 should be in the middle.

So far we have 11, 11, 12.

Since the range is 10, the difference between the largest and the smallest number is 10, so the fifth number is 11+10 = 21.

Since the sum is 75, then the fourth number is 75 - (11+11+12+21) = 20.

Thus, the numbers are 11, 11, 12, 20, 21.

Convert 4 kilograms to grams.

Answer explanation

To convert kilograms to grams, multiply by 1000. Therefore, 4 kilograms is 4 x 1000 = 4000 grams.

Convert 250cm³ to litres.

Answer explanation

To convert cubic centimeters to liters, divide by 1000. Thus, 250 cm³ ÷ 1000 = 0.25 liters.

The diagram shows a parallelogram. Find the perimeter of the parallelogram.

The diagram shows a trapezium. The area of the trapezium is 36cm². Find the value of y.

Jack uses number cards to make a 2-digit number.
Complete the missing card to give a 2-digit number that is not a prime number.