CSSE 2016 Paper 1

IndependentCo-ed

13 questions

Original PDFWorked solutions in progress

Questions

1
For each part of this question, complete the sequence by inserting the correct number in each of the empty spaces.
1. 1.a
  The rule for this sequence is “divide by $10$ ”.
  
  $\rtqMathsSequenceEllipsis, \rtqMathsListSeparator 7020, \rtqMathsListSeparator 702, \rtqMathsListSeparator \rtqMathsSequenceEllipsis, \rtqMathsListSeparator 7.02, \rtqMathsListSeparator \rtqMathsSequenceEllipsis$
2. 1.b
  The rule for this sequence is “multiply by $20$ ”.
  
  $\rtqMathsSequenceEllipsis, \rtqMathsListSeparator 0.64, \rtqMathsListSeparator 12.8, \rtqMathsListSeparator \rtqMathsSequenceEllipsis$
3. 1.c
  The rule for this sequence is “subtract $\dfrac{1}{4}$ ”.
  
  $\rtqMathsSequenceEllipsis, \rtqMathsListSeparator \dfrac{3}{4}, \rtqMathsListSeparator \dfrac{1}{2}, \rtqMathsListSeparator \dfrac{1}{4}, \rtqMathsListSeparator \rtqMathsSequenceEllipsis, \rtqMathsListSeparator \rtqMathsSequenceEllipsis$
4. 1.d
  The rule for this sequence is “add $\dfrac{1}{6}$ ”.
  
  $\dfrac{2}{3}, \rtqMathsListSeparator \rtqMathsSequenceEllipsis, \rtqMathsListSeparator \rtqMathsSequenceEllipsis, \rtqMathsListSeparator 1 \dfrac{1}{6}$
5. 1.e
  The rule for this sequence is “divide by $3$ ”.
  
  $18, \rtqMathsListSeparator 6, \rtqMathsListSeparator 2, \rtqMathsListSeparator \rtqMathsSequenceEllipsis, \rtqMathsListSeparator \rtqMathsSequenceEllipsis$
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2
For each part of this question, complete the calculation by inserting the correct digit in each of the empty squares.
1. 2.a
  $\rtqMathsColumnarArithmeticStyle \begin{array}{cccccccccccccc} & 1 & 3 & 9 \\ {}+ & 5 & \rtqMathsBoxedEmptyValueOneDigitWide & 7 \\ \hline & 6 & 5 & \rtqMathsBoxedEmptyValueOneDigitWide \end{array}$
2. 2.b
  $\rtqMathsColumnarArithmeticStyle \begin{array}{cccccccccccccc} & 3 & 3 & 5 \\ {}- & 1 & \rtqMathsBoxedEmptyValueOneDigitWide & 8 \\ \hline & \rtqMathsBoxedEmptyValueOneDigitWide & 7 & \rtqMathsBoxedEmptyValueOneDigitWide \end{array}$
3. 2.c
  $\rtqMathsColumnarArithmeticStyle \begin{array}{cccccccccccccc} & 1 & \rtqMathsBoxedEmptyValueOneDigitWide & 8 \\ {}\times & & & 7 \\ \hline & \rtqMathsBoxedEmptyValueOneDigitWide & 6 & 6 \end{array}$
4. 2.d
  $66 \rtqMathsSpaceQuarterEm \rtqMathsBoxedEmptyValueOneDigitWide \rtqMathsSpaceQuarterEm \div \rtqMathsSpaceQuarterEm 35 = \rtqMathsBoxedEmptyValueOneDigitWide \rtqMathsSpaceQuarterEm 9$
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3
This question involves completing “magic” squares. A magic square is a grid of nine numbers arranged so that every row, every column and both diagonals have the same fixed total.

For example:

$6$ $1$ $8$
$7$ $5$ $3$
$2$ $9$ $4$

In this magic square, each row, each column and each of the diagonals add to $15$ .
1. 3.a
  Insert the correct number in the two empty positions to complete this magic square.
  
  $5$ $4$ $9$
  $10$ $2$
  $8$ $7$
2. 3.b
  Insert the correct number in the two unshaded positions to part complete this magic square.
  
  $5$ shaded $7$
  $8$ shaded
  shaded $11$
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4
1. 4.a
  What is the value of $11^2$ ?
2. 4.b
  Calculate $13 \times 13$ .
3. 4.c
  How many square numbers are there between $101$ and $200$ ?
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5
1. 5.a
  What is the angle between the hour hand and the minute hand of a clock, at $3 \rtqMathsUnit{o'clock}$ ?
2. 5.b
  Through how many degrees does the hour hand of a clock turn between noon and $5 \rtqMathsUnit{o'clock}$ in the afternoon?
3. 5.c
  Through how many degrees does the minute hand of a clock turn between $0900$ and $0945$ ?
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6
1. 6.a
  Calculate a quarter of $\rtqMathsSymbolPound 62$ .
2. 6.b
  Calculate $10\%$ of $\rtqMathsSymbolPound 62$ .
3. 6.c
  Calculate $11\%$ of $\rtqMathsSymbolPound 62$ .
4. 6.d
  A coat costing $\rtqMathsSymbolPound 62$ is reduced in a sale by $\rtqMathsSymbolPound 12.40$ .
  
  What percentage discount is this?
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7
Jon is using square ceramic tiles, each $20 \rtqMathsUnit{cm} \times 20 \rtqMathsUnit{cm}$ , to cover a rectangular worktop in his greenhouse.

He can fit exactly $6$ tiles along the shorter edge of the worktop and $15$ along the length.
1. 7.a
  How many tiles will he use, altogether, to cover the worktop?
2. 7.b
  What is the length of the worktop? Give your answer in metres $(\text{m})$ .
3. 7.c
  What is the perimeter of the worktop? Give your answer in metres $(\text{m})$ .
4. 7.d
  What is the area of the worktop? Give your answer in square metres $(\text{m}^2)$ .
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Ola is planning to complete a sponsored run for Red Nose Day.

He collected a number of different promises, from his family, on his sponsor form.

Mum	$50 \rtqMathsUnitCurrencyPence$ per completed mile
Dad	$\rtqMathsSymbolPound 5$ plus $25 \rtqMathsUnitCurrencyPence$ per completed mile
Nan	$\rtqMathsSymbolPound 10$
Grandad	$10 \rtqMathsUnitCurrencyPence$ for the first mile, $20 \rtqMathsUnitCurrencyPence$ for the second mile, $30 \rtqMathsUnitCurrencyPence$ for the third mile, and so on $\ldots$
Uncle Jay	$\rtqMathsSymbolPound 15$

He hopes to complete either $8$ or $10 \rtqMathsUnit{miles}$ .

8.a
If Ola completes $8 \rtqMathsUnit{miles}$ , how much money will he collect from Dad?
8.b
If Ola completes $8 \rtqMathsUnit{miles}$ , how much money will he collect from Grandad?
8.c
If Ola completes $8 \rtqMathsUnit{miles}$ , how much money will he collect from everyone?
8.d
How much extra will Ola collect, in total, if he completes the extra $2 \rtqMathsUnit{miles}$ and runs $10 \rtqMathsUnit{miles}$ (rather than $8 \rtqMathsUnit{miles}$ )?

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Sasha is selling greetings cards and gifts for Mothers' Day.

Medium card & envelope	$\rtqMathsSymbolPound 1.79$
Large card & envelope	$\rtqMathsSymbolPound 2.59$
Small chocolate selection	$\rtqMathsSymbolPound 1.49$
Dried flower (bunch)	$\rtqMathsSymbolPound 3.65$
Candles in holder	$\rtqMathsSymbolPound 5.49$

9.a
What is the total cost of a large card & envelope, candles and a small chocolate selection?
9.b
How much change would be needed, from a $\rtqMathsSymbolPound 10$ note, if Sasha sells a medium card & envelope with a bunch of dried flowers?
9.c
Sasha is asked for an itemised receipt for a bill of $\rtqMathsSymbolPound 7.73$ . He knew that three items, bought together, have that total price.

Which three prices total $\rtqMathsSymbolPound 7.73$ ?

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10
The diagram shows three different routes from Peter's factory (marked as $\text{F}$ ) to his warehouse (marked as $\text{W}$ ). Each section of the route is either motorway (labelled $\text{M}$ ), main road (labelled $\text{A}$ ) or minor road (labelled $\text{B}$ ). The length of each section of the route is also stated.

Peter expects to travel at $90 \rtqMathsUnit{km/h}$ on the motorway, $60 \rtqMathsUnit{km/h}$ on the main road and $45 \rtqMathsUnit{km/h}$ on the minor road.
1. 10.a
  What is the total distance from factory ( $\text{F}$ ) to warehouse ( $\text{W}$ ) following route $\text{II}$ ?
2. 10.b
  What is the total distance of the longest route from factory ( $\text{F}$ ) to warehouse ( $\text{W}$ )?
3. 10.c
  How long, in minutes, will it take Peter to travel the first $15 \rtqMathsUnit{km}$ on the main road from the factory ( $\text{F}$ )?
4. 10.d
  How long, in minutes, will it take Peter to travel $45 \rtqMathsUnit{km}$ on the motorway (on route $\text{I}$ )?
5. 10.e
  How long, in hours and minutes, will it take Peter to complete the whole of route $\text{II}$ ?
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11

The graph shows the height of the tide, measured in metres, starting at noon.
1. 11.a
  What is the greatest height that the tide reaches?
2. 11.b
  At what clock time does the tide drop below $4 \rtqMathsUnit{metres}$ ?
3. 11.c
  For how many hours is the tide above $6 \rtqMathsUnit{metres}$ ?
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12

The diagram shows a cube with edges that are each $10 \rtqMathsUnit{cm}$ long.

An ant is crawling along the edges of the cube from $A$ to $B$ .
1. 12.a
  How many edges in total does a cube have?
2. 12.b
  What is the least distance the ant must travel to crawl from $A$ to $B$ , along the edges of the cube?
3. 12.c
  The ant repeatedly crawls from $A$ to $B$ using a different route each time, but always travels the least possible distance.
  
  How many different routes does the ant choose from?
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13
Adrian has a set of $50$ raffle tickets, with values from one to fifty.

Beth buys a raffle ticket hoping for a prize.

For each statemnt in this question, write your answer as “true” or “false”.
1. 13.a
  Beth is more likely to have an odd numbered ticket than an even numbered ticket.
  
  True or false?
2. 13.b
  Beth is more likely to have a prime numbered ticket than a multiple of $7$ .
  
  True or false?
3. 13.c
  Beth is more likely to have a prime numbered ticket than a factor of $50$ .
  
  True or false?
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Mum

50 \rtqMathsUnitCurrencyPence

per completed mile

Dad

\rtqMathsSymbolPound 5

plus

25 \rtqMathsUnitCurrencyPence

per completed mile

Nan

\rtqMathsSymbolPound 10

Grandad

10 \rtqMathsUnitCurrencyPence

for the first mile,

20 \rtqMathsUnitCurrencyPence

for the second mile,

30 \rtqMathsUnitCurrencyPence

for the third mile, and so on

\ldots

Uncle Jay

\rtqMathsSymbolPound 15

Medium card & envelope

\rtqMathsSymbolPound 1.79

Large card & envelope

\rtqMathsSymbolPound 2.59

Small chocolate selection

\rtqMathsSymbolPound 1.49

Dried flower (bunch)

\rtqMathsSymbolPound 3.65

Candles in holder

\rtqMathsSymbolPound 5.49

$6$	$1$	$8$
$7$	$5$	$3$
$2$	$9$	$4$

$5$	$4$	$9$
$10$		$2$
	$8$	$7$

$5$	shaded	$7$
	$8$	shaded
shaded		$11$

$6$	$1$	$8$
$7$	$5$	$3$
$2$	$9$	$4$

CSSE 2016 · Paper 1

Questions

CSSE 2016 · Paper 1

Questions

CSSE 2016 Paper 1

CSSE 2016 Paper 1