13+ Common Entrance Extended Worksheet No. 1602HT5 - Premium
February Half Term 2016
13+ Maths Non-Calculator
Total Marks:
/21
Date:
1.
Here is a number machine.
The output is twice the input. Work out the input.
6x – 2 = 2x
4x = 2
x=½
Answer: ½
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2. (a) Find the value of 3x + 2y when x =4 and y = -5
(3 x 4) + (2 x -5) = 12 – 10 = 2
(b) Solve c÷4 = 3
Answer: 2
(2)
Answer: 12
(1)
Answer: 2.5
(3)
Answer: a3 + 4a
(2)
c = 3 x 4 = 12
(c)
Solve 2(3w – 4) = 7
6w – 8 = 7
6w = 15
w = 2.5
(d) Expand a(a2 + 4)
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13+ Common Entrance Extended Worksheet No. 1602HT5 - Premium
February Half Term 2016
3.
Last year, 12 students went to the theatre. The total cost of the tickets was £240.
This year, 8 students are going. The cost of each ticket has increased by 15%.
They have a total of £200.
Is this enough to buy 8 tickets? You must show your working.
240 ÷ 12 = £20 a ticket
Price has increased by 15% = £3. Therefore ticket is now £23
8 x £23 = £184
Therefore they do have enough money.
Answer: Yes
4.
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Ali, Beth and Clare take a test.
The ratio of Ali’s score to Beth’s score is 5 : 3
Ali scored 10 more marks than Beth.
Clare scored 7 more marks than Ali.
Work out each of their scores.
Let Ali’s score = x
Beth’s score: 3x÷5 = x - 10
3x = 5x - 50
50 = 2x
x = 25
Therefore Beth’s score is 15
And Clare’s score is 32
Answer: 25, 15 and 32
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13+ Common Entrance Extended Worksheet No. 1602HT5 - Premium
February Half Term 2016
13+ Science
Total Marks:
Date:
/20
Biology
1. The photograph shows a fossil footprint. The fossil was found in a rock at the
bottom of a shallow river.
Scientists believe this is the footprint of a dinosaur. The dinosaur was alive 110
million years ago.
(a) (i)
(ii)
Suggest how the fossil shown in the photograph was formed.
Animal walking on soft material which later dries out/hardens/turns to
rock.
(2)
Fossils may also be formed by other methods. Describe one other method
of forming a fossil.
(2)
They may form from 1) bones/hard parts of the animal that do not decay or
are preserved, 2) animals that become trapped in resin/amber/ice/peat, 3)
infiltration of minerals
(b)
Dinosaurs are now extinct. Give two factors that can cause extinction.
Physical factors include flooding, volcanic activity, asteroid collision,
drought, ice age, temperature change. Biological factors include predators,
disease, competition, isolation, habitat change
(2)
(c)
How can fossils give evidence for evolution?
Fossils change with time – and older fossils are simpler
(1)
(d)
Scientists are uncertain about how life began on Earth. Suggest a reason
why.
(1)
Insufficient evidence/No fossils survives from these early stages.
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13+ Common Entrance Extended Worksheet No. 1602HT5 - Premium
February Half Term 2016
Chemistry
2. Thermosoftening polymers can be used to make plastic bottles and food
packaging.
Thermosoftening polymers soften at high temperatures.
(a)
Why are thermosoftening polymers not suitable for storing very hot food?
They would soften and change shape
(1)
(b)
The reaction to produce the polymers uses a catalyst. Why are catalysts
used in chemical reactions?
(1)
To speed up the reaction
Compounds from food packaging must not get into food.
(c)
Gas chromatography can be used to separate compounds in food.
The output from the gas chromatography column can be linked to an
instrument called a mass spectrometer which can identify the compounds.
(i)
How do you think the instrument can be used to identify the compounds?
The mass spectrometer measures the mass of the compound, which can be
compared with known values.
(ii) Give one reason why instrumental methods of analysis are used to identify
the compounds.
(d)
They are accurate/sensitive/quicker/only require a small amount of the
sample.
Poly(ethene) is a thermosoftening polymer.
Poly(ethene) can be made with different properties. The properties
depend on the conditions used when poly(ethene) is made.
Suggest two conditions which could be changed when poly(ethene) is
made.
Pressure/Temperature/Catalyst/Solvent
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13+ Common Entrance Extended Worksheet No. 1602HT5 - Premium
February Half Term 2016
Physics
3. Some students designed and built an electric-powered go-kart. The go-kart is shown
below.
(a)
Suggest two changes that could be made to the design of the go-kart to increase
its top speed.
Make the shape more streamlined
Increase the power of the engine
Reduce the mass of the go-kart
(b)
A go-kart with a new design is entered into a race. The velocity-time graph for
the go-kart, during the first 40 seconds of the race, is shown below.
(i)
Between which two points did the go-kart have the greatest acceleration? Give a
reason for your answer.
Between A and B – the graph has the steepest gradient in this region.
(ii) The go-kart travels at a speed of 13 m/s between points D and E. The total mass
of the go-kart and driver is 140 kg. Calculate the momentum of the go-kart and
driver between points D and E.
You may want to use the equation: momentum = mass x velocity.
Momentum = 140 x 13 = 1820 kgm/s
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