CSSE 2017 Paper 1

IndependentCo-ed

21 questions

Original PDFWorked solutions in progress

Questions

1. 1
  1.a
  $147 + 74 =$
  1.b
  $2035 + 966 =$
  1.c
  $1020 - 877 =$
  Worked solution
  Being written
2. 2
  In each part of this question, the printed number can be made by multiplying two prime numbers together.
  
  Write the two prime numbers in the empty boxes.
  2.a
  $57 = \rtqMathsBoxedEmptyValueTwoDigitsWide \times \rtqMathsBoxedEmptyValueTwoDigitsWide$
  2.b
  $91 = \rtqMathsBoxedEmptyValueTwoDigitsWide \times \rtqMathsBoxedEmptyValueTwoDigitsWide$
  Worked solution
  Being written
3. 3
  3.a
  What is the value of:
  
  $(5 + 3) \times (7 + 2) =$
  3.b
  What is the value of:
  
  $5 + (3 \times 7) + 2 =$
  3.c
  What is the value of:
  
  $(5 + 3) \times 7 + 2 =$
  3.d
  Work out the value of:
  
  $5 + 3 \times 7 + 2$
  
  Is your answer the same as part (a), (b) or (c) of this question?
  
  Write (a), (b) or (c) in the answer box.
  Worked solution
  Being written
4. 4
  4.a
  Which number is halfway between:
  
  $0.1$ and $0.4$ ?
  4.b
  Which number is halfway between:
  
  $0.01$ and $0.26$ ?
  4.c
  Which is the smallest:
  
  $5.301, 5.031, 5.13$ or $5.103$ ?
  Worked solution
  Being written
5. 5
  John is repeating a two-step calculation, using a “number machine” to multiply by $7$ and then subtract $3$ .
  
  His number machine works like this:
  
  $\text{INPUT} \rightarrow \rtqMathsBoxedValue{\times 7} \rightarrow \rtqMathsBoxedValue{-3} \rightarrow \text{OUTPUT}$
  5.a
  What is the OUTPUT if John uses $12$ as his INPUT?
  5.b
  John obtains an OUTPUT of $39$ . What was his INPUT?
  5.c
  Casey is using a different “multiply then add” number machine. When she inputs $3$ , the output is $26$ . When the input is $5$ , the output is $36$ .
  
  $\begin{aligned} 3 &\rightarrow \rtqMathsBoxedValue{\times \rtqMathsQuestionMarkPlaceholder} \rightarrow \rtqMathsBoxedValue{+ \rtqMathsQuestionMarkPlaceholder} \rightarrow 26 \\\\ 5 &\rightarrow \rtqMathsBoxedValue{\times \rtqMathsQuestionMarkPlaceholder} \rightarrow \rtqMathsBoxedValue{+ \rtqMathsQuestionMarkPlaceholder} \rightarrow 36 \end{aligned}$
  
  Fill in the unknown values for Casey’s number machine, so you obtain the same input and output values as she did.
  
  $\begin{aligned} \text{INPUT} &\rightarrow \rtqMathsBoxedValue{\times \ldots} \rightarrow \rtqMathsBoxedValue{+ \ldots} \rightarrow \text{OUTPUT} \end{aligned}$
  5.d
  What OUTPUT will Casey obtain, when the INPUT is $4$ ?
  Worked solution
  Being written
6. 6
  6.a
  Calculate the value of:
  
  $2.3051 \times 1000 =$
  6.b
  Calculate the value of:
  
  $23051 \div 10000 =$
  Worked solution
  Being written
7. 7
  7.a
  Which is bigger:
  
  $3^4$ or $4^3$ ?
  7.b
  Calculate the result of:
  
  $4^3 - 3^4 =$
  Worked solution
  Being written
8. 8
  In the pyramid of bricks below the number on a brick equals the two numbers immediately below it multipled together as in this example:
  
  Fill in the numbers on the three bricks to complete this pyramid.
  
  Worked solution
  Being written
9. 9
  9.a
  A bottle contains $0.35 \rtqMathsUnit{litres}$ , how many $\text{ml}$ is this?
  9.b
  A picture is $540 \rtqMathsUnit{mm}$ tall, what is this measurement in $\text{cm}$ ?
  9.c
  A bag of flour contains $1029 \rtqMathsUnit{g}$ . Rewrite this quantity in $\text{kg}$ .
  9.d
  Add together $1 \rtqMathsUnit{mm}$ , $0.1 \rtqMathsUnit{cm}$ and $0.1 \rtqMathsUnit{m}$ . Give your answer in $\text{cm}$ .
  9.e
  The area of a postage stamp is calculated as:
  
  $2 \rtqMathsUnit{cm} \times 2.5 \rtqMathsUnit{cm} = 5 \rtqMathsUnit{cm}^2$
  
  What is the area of this stamp in $\text{mm}^2$ ?
  Worked solution
  Being written
10. 10
  A Formula $1$ race is $96$ laps of the track. A driver averages $1 \rtqMathsUnit{minute} \rtqMathsSpaceQuarterEm 20 \rtqMathsUnit{seconds}$ per lap.
  
  How long is his race in hours and minutes?
  Worked solution
  Being written
11. 11
  A coat is advertised on a discount website. The original price is $\rtqMathsSymbolPound 120$ . Ashok and Ed are both trying to get the best price to buy the coat.
  11.a
  Ashok buys the coat for sale at “ $40\%$ off”.
  
  How much does he pay for it?
  11.b
  Ed finds the $\rtqMathsSymbolPound 120$ coat at a different website, adverised with a $30\%$ discount. As a “registered member” he is able to get a further $10\%$ off this advertised price.
  11.b.i
  Work out the advertised price:
  11.b.ii
  Reduce the advertised price by $10\%$ .
  
  How much does Ed pay?
  Worked solution
  Being written
12. 12
  Two square numbers have a difference of $33$ . Identify the two missing whole numbers that complete this calculation.
  
  $A^2 - B^2 = 33$
  
  Fill in the two empty boxes to show your answer:
  
  $\rtqMathsBoxedEmptyValueOneDigitWide \rtqMathsSpaceQuarterEm ^2 - \rtqMathsBoxedEmptyValueOneDigitWide \rtqMathsSpaceQuarterEm ^2 = 33$
  Worked solution
  Being written
13. 13
  13.a
  Petra asks five friends how much time they spent watching TV the day before. The answers were $2, 3, 4, 5$ and $8 \rtqMathsUnit{hours}$ .
  
  What is the average amount of time watching TV?
  13.b
  Valeri asks twenty friends the same question as Petra.
  
  She records their answers in a table.
  
  hours people
  $1$ $5$
  $2$ $5$
  $3$ $6$
  $4$ $4$
  
  What is the total amount of TV watched by Valeri's $20$ friends?
  13.c
  What is the average time Valeri's friends watched TV?
  Worked solution
  Being written
14. 14
  Errol has a wooden cube $20 \rtqMathsUnit{cm} \times 20 \rtqMathsUnit{cm} \times 20 \rtqMathsUnit{cm}$ .
  
  14.a
  How many faces does a cube have?
  14.b
  Errol paints the cube all over.
  
  What area in $\text{cm}^2$ does he paint?
  14.c
  Errol now uses a saw to cut the cube in two along the dotted line shown.
  
  What fraction of the area of the two new blocks is not painted?
  
  Worked solution
  Being written
15. 15
  Jo ties a rope from a branch of a tree overhanging a river. She stands on the bank holding the rope and then launches herself to swing out over the river and back to the bank where she stops.
  
  The graph shows her distance from the bank at different times from the start.
  
  15.a
  How far does Jo travel in total?
  15.b
  For how long is Jo more than $3 \rtqMathsUnit{metres}$ from the bank?
  15.c
  How far from the bank is she when she is travelling fastest?
  Worked solution
  Being written
16. 16
  The pie chart and table show the answers given by $80$ people to a survey about their favourite Summer Sports Event of $2016$ .
  
  Euro $2016$ $16$
  Rio Olympics
  Tour de France
  Other $9$
  16.a
  The pie chart has an angle of $90 \degree$ for the Tour de France.
  
  How many people does this represent?
  16.b
  What fraction of the answers were for “Euro $2016$ ”?
  
  (Simplify your answer, if possible).
  16.c
  Calculate the angle needed for “Euro $2016$ ” on the pie chart.
  Worked solution
  Being written
17. 17
  Fill in the missing numbers in these fraction calculations:
  17.a
  $\dfrac{3}{5} + \dfrac{ \rtqMathsBoxedEmptyValueTwoDigitsWide }{10} = \dfrac{9}{10}$
  17.b
  $\dfrac{2}{7} + \dfrac{3}{10} = \dfrac{ \rtqMathsBoxedEmptyValueTwoDigitsWide }{70}$
  17.c
  $\dfrac{1}{5} + \dfrac{3}{4} = \dfrac{19}{ \rtqMathsBoxedEmptyValueTwoDigitsWide }$
  Worked solution
  Being written
18. 18
  Which of these statements is true $(\rtqMathsSymbolCheckmarkPendingReview)$ and which of these statements is false $(\rtqMathsSymbolCrossPendingReview)$ ?
  
  Indicate clearly with a tick or cross.
  18.a
  The two diagonals of a rectangle are always equal in length.
  18.b
  The two diagonals of a parallelogram are always equal in length.
  18.c
  The two diagonals of a rectangle always cross each other at right angles.
  Worked solution
  Being written
19. 19
  Complete the empty boxes in the following table with the missing measurements for the rectangles.
  
  length $(\text{cm})$ width $(\text{cm})$ perimeter $(\text{cm})$ area $(\text{cm}^{2})$
  $5$ $3$
  $14$ $42$
  Worked solution
  Being written
20. 20
  Seventy five Year $6$ pupils visited a theme park on a school trip. They each had the opportunity to go on “Doomfall” or on “Skyleap” or to do both.
  
  After the trip they were asked what they had done. Eight pupils didn't go on either ride. Fifty three pupils raised their hands to indicate they had been on Doomfall. Forty seven confirmed they had completed Skyleap.
  
  Use this information to answer the following questions:
  20.a
  How many pupils must have been on both rides?
  20.b
  How many pupils rode only Doomfall?
  20.c
  What fraction of the pupils did not ride Skyleap?
  
  (simplify your answer, if possible).
  Worked solution
  Being written
21. 21
  Look carefully at the pattern sequence, made from black and white square tiles:
  
  21.a
  How many tiles would be needed in total for the $7^\text{th}$ pattern in this sequence?
  21.b
  How many black tiles are needed for the $7^\text{th}$ pattern?
  21.c
  The $9^\text{th}$ pattern in the sequence has $36$ black tiles.
  
  Which other pattern in the sequence also uses exactly $36$ black tiles?
  Worked solution
  Being written

hours	people
$1$	$5$
$2$	$5$
$3$	$6$
$4$	$4$

length $(\text{cm})$	width $(\text{cm})$	perimeter $(\text{cm})$	area $(\text{cm}^{2})$
$5$	$3$
$14$			$42$

hours	people
$1$	$5$
$2$	$5$
$3$	$6$
$4$	$4$

hours

people

1

5

2

5

3

6

4

4

length $(\text{cm})$	width $(\text{cm})$	perimeter $(\text{cm})$	area $(\text{cm}^{2})$
$5$	$3$
$14$			$42$

length

(\text{cm})

width

(\text{cm})

perimeter

(\text{cm})

area

(\text{cm}^{2})

5

3

14

42

Euro $2016$	$16$
Rio Olympics
Tour de France
Other	$9$

Euro $2016$	$16$
Rio Olympics
Tour de France
Other	$9$

CSSE 2017 · Paper 1

Questions

CSSE 2017 · Paper 1

Questions

CSSE 2017 Paper 1

CSSE 2017 Paper 1