Devonport High School for Boys 2020 Paper 1

GrammarBoys

44 questions

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Questions

1. 1
  Rearrange the order of the digits in $2965$ to make the smallest possible number.
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2. 2
  The months run from January to December. The vertical scale is labelled 0, 2, 4, 6 and 8, with horizontal grid lines. The key reads Number of Birthdays. The bar values are January 3, February 4, March 3, April 2, May 3, June 5, July 4, August 6, September 5, October 4, November 3 and December 2.
  During which month are there the most birthdays?
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3. 3
  Shanghai in China is $8 \rtqMathsUnit{hours}$ ahead of the time in the UK. If it is $09.00$ in the UK, what time is it in Shanghai?
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4. 4
  Both axes are numbered from 0 to 4 at unit intervals. Five equal filled dots are labelled A, B, C, D and E. A lies on the vertical axis. B is directly above C, and D is directly above E. B and D are horizontally aligned; C and E are horizontally aligned on the lower row.
  Which point has coordinates $(2, 1)$ ?
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5. 5
  Split $480$ into $6$ equal parts.
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6. 6
  In the number $236.751$ , what does the $7$ stand for?
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7. 7
  One circle is divided into six equal sectors. Four consecutive sectors spanning the top and both sides are shaded; the two sectors at the bottom are unshaded.
  What fraction of the shape is shaded?
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8. 8
  One pint is $568 \rtqMathsUnit{ml}$ . How many ml is half a pint?
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9. 9
  A right-leaning parallelogram has one unlabelled arc marking each of its four interior angles. No numerical angle values are shown.
  What is the sum of the angles in the shape above?
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10. 10
  How many $15 \rtqMathsUnit{cm}$ strips can I cut from a ribbon $1 \rtqMathsUnit{m}$ long?
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11. 11
  What is $36 \div (9 + 3)$ ?
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12. 12
  What is the next number in this sequence?
  
  $47, \rtqMathsListSeparator 40, \rtqMathsListSeparator 33, \rtqMathsListSeparator 26, \rtqMathsListSeparator \rtqMathsSequenceEllipsis$
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13. 13
  It is $15 \degree$ in Plymouth. In Reykjavik, the capital of Iceland, it is $17 \degree$ colder. What is the temperature in Reykjavik?
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14. 14
  The circle has five labelled sectors in distinct neutral tones with white separators. Clockwise from the upward radius, Blue, Orange and Silver each occupy one quarter of the circle. Yellow and Red each occupy one eighth.
  $40$ students were asked which was their favourite colour. How many students chose Yellow?
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15. 15
  A coach journey from Plymouth to Exeter leaves at $16.15$ and arrives at $17.36$ . How many minutes does the journey take?
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16. 16
  The same coach takes $3 \rtqMathsUnit{h}$ to get to Bristol, a journey of $120 \rtqMathsUnit{miles}$ . What is its average speed in $\text{miles per hour}$ ?
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17. 17
  Rearrange the following numbers from the smallest to the largest.
  
  $0.601, \rtqMathsListSeparator 0.067, \rtqMathsListSeparator 0.161, \rtqMathsListSeparator 0.106$
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18. 18
  What percentage of $\rtqMathsSymbolPound 5$ is $\rtqMathsSymbolPound 1$ ?
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19. 19
  Day Temperature
  Monday $15$
  Tuesday $13$
  Wednesday $12$
  Thursday $9$
  Friday $16$
  
  The table shows midday temperatures. What is the average midday temperature?
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20. 20
  Gym membership costs $\rtqMathsSymbolPound 16$ a month. How much will it cost for a year?
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21. 21
  $2.3 \div 1000 =$
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22. 22
  A recipe for $4$ people needs $150 \rtqMathsUnit{g}$ of flour. How much flour would you need to make the same recipe for $6$ people?
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23. 23
  The horizontal axis is labelled from minus 3 to 3 and the vertical axis from minus 4 to 4, with one-unit square grid spacing and the origin marked 0. A, B, C and D label four filled points joined in that order to form the shaded quadrilateral to the left of the vertical axis. A and D share the upper horizontal grid line; A and B are vertically aligned, as are C and D. Only the original quadrilateral is shown.
  What would be the coordinates of $D$ if the shape above was reflected in the y-axis?
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24. 24
  A box contains $48$ pencils.
  
  If I take out $\dfrac {3} {4}$ of the pencils how many would be left?
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25. 25
  $2 \rtqMathsListSeparator 13 \rtqMathsListSeparator 17$
  
  Select one statement which is true for ALL three numbers.
  
  They are all even numbers.
  
  They are all square numbers.
  
  They are all odd numbers.
  
  They are all prime numbers.
  
  They are all divisible by $3$ .
  
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26. 26
  What is $11^2$ ?
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27. 27
  A cuboid is shown with its front lower edge labelled 3 cm, its rear right vertical edge labelled 3 cm and its lower-right receding edge labelled 6 cm. Three hidden edges are dashed.
  What is the volume of the box above?
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28. 28
  Put these fractions in size order, smallest to largest.
  
  $\dfrac {1} {2}, \rtqMathsListSeparator \dfrac {1} {4} , \rtqMathsListSeparator \dfrac {1} {8} , \rtqMathsListSeparator \dfrac {3} {4} , \rtqMathsListSeparator \dfrac {3} {8}$
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29. 29
  $4.679 + 2.15 = \rtqMathsQuestionMarkPlaceholder$
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30. 30
  Two overlapping ellipses represent multiples of 3 and multiples of 4. Their intersection is marked with shallow diagonal hatching.
  How many of the following numbers should go into the shaded region?
  
  $3 \rtqMathsListSeparator 5 \rtqMathsListSeparator 12 \rtqMathsListSeparator 43 \rtqMathsListSeparator 48$
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31. 31
  The line runs from 2300 to 2500 with three equally spaced unlabelled ticks between the endpoints. A is halfway between 2300 and the first internal tick; B is at the first internal tick; C is halfway between the first and second internal ticks; D is at the second internal tick; and E is at the third internal tick.
  Which arrow is pointing at $2375$ ?
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32. 32
  What is $76.5974$ correct to $2$ decimal places?
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33. 33
  If $432.6 \times 7 = 3028.2$
  
  What is $43.26 \times 0.7$ ?
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34. 34
  How much change would you get from $\rtqMathsSymbolPound 10$ if you bought $7$ $\text{Chocco}^{\text{TM}}$ bars at $78 \rtqMathsUnitCurrencyPence$ each?
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35. 35
  Which number should go in the box?
  
  $\rtqMathsBoxedEmptyValueFourDigitsWide - 230 = 40 \times 30$
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36. 36
  The outer rectangle is 7 cm wide and 5 cm high. The inner rectangle is 3 cm wide and 2 cm high. The region between them is shaded.
  What is the shaded area?
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37. 37
  What is $1.9$ as a fraction?
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38. 38
  John's garden is a rectangle measuring $8 \rtqMathsUnit{m}$ by $5 \rtqMathsUnit{m}$ . He wants to pave the garden using slabs which are $1 \rtqMathsUnit{m}$ by $0.5 \rtqMathsUnit{m}$ .
  
  How many slabs will he need?
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39. 39
  Peter Pilgrim has scored a goal in each of his last $4$ football games. On average he has taken $23 \rtqMathsUnit{minutes}$ to score.
  
  He scores again in the next game after $33 \rtqMathsUnit{minutes}$ .
  
  What will the average time to score be for all five games?
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40. 40
  What is $15 \%$ of $\rtqMathsSymbolPound 120$ ?
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41. 41
  What is the $40^\text{th}$ number in the following sequence?
  
  $10, \rtqMathsListSeparator 13, \rtqMathsListSeparator 16, \rtqMathsListSeparator 19, \rtqMathsListSeparator \rtqMathsSequenceEllipsis$
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42. 42
  A cube has a volume $12 \rtqMathsUnit{cm}^3$ .
  
  If the length of each edge is doubled, what will the new volume be?
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43. 43
  A pentagon has an upper point and a horizontal base. Outside dimension arrows label the two upper sloping sides and the base a, and the two lower sloping sides b.
  What is the perimeter of the shape above?
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44. 44
  How many seconds in a day?
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