Oundle School 2017 First Form

IndependentCo-ed

14 questions

Original PDFWorked solutions in progress

Questions

1. 1
  1.a
  At the start of January there were $2{,}349{,}290{,}978$ Facebook users in the world. By the end of January $28{,}863{,}298$ users had joined Facebook.
  
  Calculate how many users there were at the end of January (assume no-one left Facebook).
  1.b
  In $2014$ , $\rtqMathsSymbolPound 45{,}422{,}000{,}762$ was spent on video games. In $2015$ , $\rtqMathsSymbolPound 79{,}584{,}354$ less was spent on video games.
  
  Calculate the spend on video games in $2015$ .
  1.c
  A box contains $83$ apples. How many apples would there be in $46$ boxes?
  1.d
  Five Xbox One consoles cost $\rtqMathsSymbolPound 683.75$ . Find the cost of one console.
  1.e
  $4023$ pumpkins need to be shipped by crate. A maximum of $26$ pumpkins fit in each crate.
  
  Find the minimum number of crates needed.
  1.f
  Work out $3243 + 47643 - 1243$ .
  Worked solution
  Being written
2. 2
  2.a
  Work out $6 + 7 - 9 + 3 - 12 - 2$ .
  2.b
  Work out $9 + 11 \times 3 - 12 \div 4$ .
  Worked solution
  Being written
3. 3
  Insert brackets to make the following statements correct:
  3.a
  $9 \times 5 \div 2 + 1 = 15$
  3.b
  $3\times 7 - 6 \times 4 - 3 = 15$
  Worked solution
  Being written
4. 4
  A pile of hay can feed $12$ horses for $15 \rtqMathsUnit{days}$ .
  
  For how long could the same pile of hay feed $20$ horses?
  Worked solution
  Being written
5. 5
  An iPad used to cost $\rtqMathsSymbolPound 330$ . Since Brexit the price has increased by $22\%$ .
  
  How much does it cost now?
  Worked solution
  Being written
6. 6
  $a$ and $b$ are two different, positive whole numbers which make the following statement true:
  
  $4a + 3b = 48$
  
  Find two possible pairs of numbers which make the statement above true.
  Worked solution
  Being written
7. 7
  $x$ and $y$ are positive whole numbers. The ratio of $x$ to $y$ is $7 \rtqMathsRatioSeparator 3$ . The difference between $x$ and $y$ is $24$ .
  
  Find the value of $x$ and the value of $y$ .
  Worked solution
  Being written
8. 8
  This question is about fractions.
  8.a
  Which fraction is bigger, four fifths or eight ninths?
  8.b
  Write down a fraction which is greater than two fifths, but less than four fifths.
  8.c
  Write down a fraction that is greater than three fifths, but less than four fifths.
  8.d
  Write down a fraction which is less than one seventh, but greater than zero.
  8.e
  Calculate half of one sixth.
  8.f
  What is the result if one is subtracted from three fifths?
  Worked solution
  Being written
9. 9
  A large sack holds $20\%$ more potatoes than a small sack.
  
  If one large sack and one small sack together contain $77$ potatoes, how many potatoes does each sack hold?
  Worked solution
  Being written
10. 10
  You have the numbers $-7, 8, 4$ and $-3.5$ available.
  
  Any of these numbers can be used in each part of the question.
  10.a
  What is the highest number that can be obtained by adding two of the above numbers?
  10.b
  What is the lowest number that can be obtained by adding two of the above numbers?
  10.c
  What is the highest number that can be obtained by subtracting two of the above numbers?
  10.d
  What is the lowest number that can be obtained by multiplying two of the above numbers?
  Worked solution
  Being written
11. 11
  Write down the missing number in each part.
  11.a
  $37 \times \rtqMathsQuestionMarkPlaceholder = 7400$
  11.b
  $3.7 \times \rtqMathsQuestionMarkPlaceholder = 7400$
  11.c
  $7400 \div \rtqMathsQuestionMarkPlaceholder = 37000$
  Worked solution
  Being written
12. 12
  In this question you may use the grid below to help you answer the questions.
  
  A straight line passes through the points $(2, 3)$ and $(6, 11)$ .
  A blank 20-by-20 square grid has light lines at every unit and darker lines every five units. No points or lines are plotted.
  12.a
  12.a.i
  The point $(3, a)$ also lies on the line. Calculate the value of $a$ .
  12.a.ii
  The point $(7, b)$ also lies on the line. Calculate the value of $b$ .
  12.a.iii
  Give the coordinates of a new point which would form a right angled triangle with the original two points.
  12.b
  Another straight line goes through the point $(5, 1)$ and is parallel to the first line.
  
  Give the coordinates of any other point on this second line.
  Worked solution
  Being written
13. 13
  On the diagram below, shade some white squares until the shape has:
  A vertical bar of three cells is shaded near the upper left and a horizontal bar of three cells near the lower right.
  13.a
  no lines of symmetry
  13.b
  rotational symmetry of order $2$
  Worked solution
  Being written
14. 14
  When the fraction “one seventh” is written as a decimal, the first digit after the decimal point is $1$ , the second is $4$ , and the third is $2$ . If fifteen decimal places are calculated then we find:
  
  $\dfrac{1}{7} = 0.142 \rtqMathsDigitGroupSeparator 857 \rtqMathsDigitGroupSeparator 142 \rtqMathsDigitGroupSeparator 857 \rtqMathsDigitGroupSeparator 142 \rtqMathsDigitGroupSeparator 857 \rtqMathsDigitGroupSeparator 142 \rtqMathsSequenceEllipsis$
  
  You will notice that after six decimal places the digits begin to repeat, and in fact this pattern continues.
  14.a
  Write down the digits that are in the $4^\text{th}$ and $10^\text{th}$ decimal places.
  14.b
  What number would you find in the $30^\text{th}$ decimal place?
  14.c
  What number would you find in the $6{,}000^\text{th}$ decimal place?
  14.d
  How many $5$ s appear in the first $100$ decimal places?
  Worked solution
  Being written

Oundle School 2017 · First Form

Questions

Oundle School 2017 · First Form

Questions

Oundle School 2017 First Form

Oundle School 2017 First Form