King's College School — 11+ Maths Pre-Test Section B 2020 (Interactive)

Q1(i): Work out 273 x 23.

Q1(ii): Work out 595 ÷ 17.

Q1(iii): Write down two multiples of 2001. Give the first (smaller) multiple.

Q1(iii): Write down two multiples of 2001. Give the second (larger) multiple.

Q1(iv): Write down two factors of 2001. Give the first factor.

Q1(iv): Write down two factors of 2001. Give the second factor.

Q1(v): Find the cost of 31 litres of petrol at 81p per litre.

Q1(vi): In a 'third off' sale a bike is sold for £114. How much would it have sold for before the sale?

Q2(i): In 25 minutes, through what angle does the minute hand of a clock pass?

Q2(ii): In the diagram, AB is a straight line. Two angles are formed above the line: one is 48° and the other is 3a°. Calculate the value of a. (Refer to original PDF for figure.)

Q2(iii)(a): A square has a perimeter of 96 cm. Calculate the length of one side.

Q2(iii)(b): Find the area of the square (which has a perimeter of 96 cm).

Q2(iii)(c): Give the dimensions (length and width) of a rectangle which has the same area as the square (576 cm²). State the length of the sides, e.g. '32 cm and 18 cm'.

Q2(iii)(d): Find the perimeter of your rectangle (which has the same area as the square with perimeter 96 cm). If using 32 cm by 18 cm:

Q3(a): A pie chart shows the favourite colour of some boys. The angles are: blue = 76°, red = 84°, green = 62°, yellow = x°. Calculate the value of x. (Refer to original PDF for figure.)

Q3(b)(i): Red is the favourite colour of 126 boys (red sector = 84°). Calculate the number of boys whose favourite colour is green (green sector = 62°).

Q3(b)(ii): Red is the favourite colour of 126 boys (red sector = 84°). Calculate the number of boys whose favourite colour is yellow (yellow sector = 138°).

Q3(b)(iii): Red is the favourite colour of 126 boys (red sector = 84°). Calculate the number of boys whose favourite colour is not blue (blue sector = 76°).

Q3(c): Calculate the total number of boys in the pie chart. (Red = 126 boys, red sector = 84°.)

Q4(a): Here is a pattern of numbers: Row 1: 1 + 2² = 5, Row 2: 2 + 3² = 11, Row 3: 3 + 4² = 19. Write out Row 4.

Q4(a): Write out Row 5 of the pattern. (Row 1: 1 + 2² = 5, Row 2: 2 + 3² = 11, Row 3: 3 + 4² = 19.)

Q4(b): Write out Row 9 of the pattern. (Row n: n + (n+1)².)

Q4(c): Write out Row 49 of the pattern. (Row n: n + (n+1)².)

Q4(d): Find the row which ends 419. (Row n: n + (n+1)².)

Q4(e): What is the general rule to describe each row if you call the row number n? (Row 1: 1 + 2² = 5, Row 2: 2 + 3² = 11, Row 3: 3 + 4² = 19.)