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.
Answer:
(3)
2. (a) Find the value of 3x + 2y when x =4 and y = -5
Answer:
(2)
Answer:
(1)
Answer:
(3)
Answer:
(2)
(b) Solve c÷4 = 3
(c)
Solve 2(3w – 4) = 7
(d) Expand a(a2 + 4)
London Science Tutors
Specialists in Science and Maths Education
© London Science Tutors Ltd. Registered in England and Wales. Company Number 08282838
1
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.
Answer:
4.
(5)
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.
Answer:
London Science Tutors
Specialists in Science and Maths Education
© London Science Tutors Ltd. Registered in England and Wales. Company Number 08282838
(5)
2
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)
Suggest how the fossil shown in the photograph was formed.
(2)
Fossils may also be formed by other methods. Describe one other method
of forming a fossil.
(2)
(b)
Dinosaurs are now extinct. Give two factors that can cause extinction.
(2)
(c)
How can fossils give evidence for evolution?
(1)
(d)
Scientists are uncertain about how life began on Earth. Suggest a reason
why.
(1)
(ii)
London Science Tutors
Specialists in Science and Maths Education
© London Science Tutors Ltd. Registered in England and Wales. Company Number 08282838
3
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?
(1)
(b)
The reaction to produce the polymers uses a catalyst. Why are catalysts
used in chemical reactions?
(1)
(c)
Compounds from food packaging must not get into food.
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?
(ii) Give one reason why instrumental methods of analysis are used to identify
the compounds.
(d)
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.
London Science Tutors
Specialists in Science and Maths Education
© London Science Tutors Ltd. Registered in England and Wales. Company Number 08282838
(1)
(1)
(2)
4
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.
(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)
(2)
Between which two points did the go-kart have the greatest acceleration? Give a
reason for your answer.
(2)
(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.
(2)
London Science Tutors
Specialists in Science and Maths Education
© London Science Tutors Ltd. Registered in England and Wales. Company Number 08282838
5