King's College School 2017 Section B

IndependentBoys

4 questions

Original PDFWorked solutions in progress

Questions

1. 1
  1.i
  Work out $273 \times 23$ .
  1.ii
  Work out $595 \div 17$ .
  1.iii
  Write down two multiples of $2001$ .
  1.iv
  Write down two factors of $2001$ .
  1.v
  Find the cost of $31 \rtqMathsUnit{litres}$ of petrol at $81 \rtqMathsUnitCurrencyPence$ per litre.
  1.vi
  In a “third off” sale a bike is sold for $\rtqMathsSymbolPound 114$ .
  
  How much would it have sold for before the sale?
  Worked solution
  Being written
2. 2
  2.i
  In $25 \rtqMathsUnit{minutes}$ , through what angle does the minute hand of a clock pass?
  2.ii
  In the diagram $AB$ is a straight line. Calculate the value of angle $a \degree$ .
  A and B lie on a straight horizontal path with an interior junction. A sloping ray descends rightward to the junction. The two adjacent sectors are text-only labels 48 degrees and 3a degrees, with no angle arcs.
  2.iii
  A square has a perimeter of $96 \rtqMathsUnit{cm}$ .
  2.iii.a
  Calculate the length of one side.
  2.iii.b
  Find the area of the square.
  2.iii.c
  Give a sketch, not to scale, of a rectangle, showing the length of its sides, which has the same area as the square.
  2.iii.d
  Find the perimeter of your rectangle.
  Worked solution
  Being written
3. 3
  The pie chart shows the favourite colour of some boys.
  The unfilled pie chart has four sectors labelled red, green, yellow and blue. Clockwise from the upward radius, red is marked 84 degrees, green 62 degrees, yellow x degrees and blue 76 degrees.
  3.a
  Calculate the value of $x$ .
  3.b
  Red is the favourite colour of $126$ boys.
  
  Calculate the number of boys whose favourite colour is:
  3.b.a
  green
  3.b.b
  yellow
  3.b.c
  not blue
  3.c
  Calculate the total number of boys.
  Worked solution
  Being written
4. 4
  Here is a pattern of numbers.
  
  $\begin{aligned} \text{Row } 1:\rtqMathsSpaceOneEm &1 + 2^2 &= 5 \\\\ \text{Row } 2:\rtqMathsSpaceOneEm &2 + 3^2 &= 11 \\\\ \text{Row } 3:\rtqMathsSpaceOneEm &3 + 4^2 &= 19 \end{aligned}$
  4.a
  Write out the next two rows.
  4.b
  Write out Row $9$ .
  4.c
  Write out Row $49$ .
  4.d
  Find the row which ends $419$ .
  4.e
  What is the general rule to describe each row if you call the row number $n$ ?
  Worked solution
  Being written

King's College School 2017 · Section B

Questions

King's College School 2017 · Section B

Questions

King's College School 2017 Section B

King's College School 2017 Section B