Download Mymaths Intermediate Non- calc

Paper 2 (non-calculator)
for Key Stage 3
Phase test
Calculator not allowed
Please read this page, but do not turn over until your teacher tells you to start.
Write your details in the spaces below.
Name
_________________________________________
Class
_________________________________________
Teacher
_________________________________________
Date
_________________________________________
Remember

The test is one hour long.

You may not use a calculator for any question in this test.

You will need: pen, pencil, rubber, ruler and a protractor.

Try to answer all the questions.

Write all your answers and working on the test paper.

Check your work carefully.

Ask your teacher if you are not sure what to do.
For marker’s
use only
Total marks
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
Paper 2 (non-calculator)
for Key Stage 3
Calculator not allowed
60 marks total
1 Mary has a list of numbers.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
a Write all the numbers in the list that are square numbers.
_____________
(2 marks)
b Write all the numbers in the list that are prime numbers.
c
_____________
(2 marks)
_________________________________________________
(1 mark)
Explain why the number 1 is not prime.
2 Felicity wants to bake a cake for six people.
She uses a recipe that includes these ingredients.
a How many eggs will Felicity need?
______
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
(1 mark)
Paper 2 (non-calculator)
for Key Stage 3
2 cont.
b Will a 200 g bag of flour be sufficient for her cake?
You must show your working.
Yes / No
(2 marks)
______ cups
(1 mark)
____________
(2 marks)
____________
(2 marks)
Felicity’s measuring cup holds 30 g.
c
How many cups of flour will she use?
3 Expand the brackets in these expressions.
a 3(2x − 4)
b x(x + 3)
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
Paper 2 (non-calculator)
for Key Stage 3
4 Charlie has a fair spinner divided into eight equal sections.
Half of these are shaded.
a What is the probability the arrow lands on an even number?
______
(1 mark)
b Write the probability the arrow lands on a cube number.
______
c
(1 mark)
What is the probability of the spinner landing on a shaded, odd
numbered section?
______
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
(2 marks)
Paper 2 (non-calculator)
for Key Stage 3
5 This table shows the number of adult dogs and puppies staying at
a kennel on a particular day.
Breed
Number of
adult dogs
Number of
pups
Total
Labrador
6
4
10
Retriever
2
1
3
Alsatian
3
0
3
Dalmatian
1
1
2
12
6
18
Total
a Which breed makes up 25% of adult dogs at the kennel?
______________
(1 mark)
b What fraction of all the dogs at the kennel are retrievers?
________
c
For which breeds are the number of puppies more than
number of adult dogs?
1
the
2
_______________________________
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
(1 mark)
(2 marks)
Paper 2 (non-calculator)
for Key Stage 3
6 Here is a map of four paths.
a What is the acute angle between paths A and B?
______ °
(2 marks)
b The acute angle between path D and path C is 55°.
Is path D parallel to path A? Give a reason for your answer.
_________________________________________________
(2 marks)
7 Here is a list of numbers.
a Use the numbers to find pairs of x and y which satisfy the equation.
One has been done for you.
x
y
2
0
(2 marks)
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
Paper 2 (non-calculator)
for Key Stage 3
7 cont.
b Plot the points from your table on the axes and thus draw the
graph of x – y = 2.
(2 marks)
8 Walter goes to his local shop, where there is an offer on toothpaste.
a How much would six individual tubes cost?
£ ______
(1 mark)
b What is the overall saving if Walter buys a pack of six instead?
£ ______
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
(1 mark)
Paper 2 (non-calculator)
for Key Stage 3
8 cont.
c
What is the saving per tube?
£ ______
(1 mark)
9
Choose from the numbers and symbols above to fill in the gaps in
these three calculations. You may reuse numbers.
a 36
÷
______ = 0.1
(1 mark)
b 360
÷
______ = 3.6
(1 mark)
c
__
______ = 36
(2 marks)
0.36
10 In this diagram, S is the image of the polygon R after reflection in
the mirror line. It is drawn on 1 cm2 dotted paper.
a Draw the shape R on the diagram.
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
(2 marks)
Paper 2 (non-calculator)
for Key Stage 3
10 1cont.
b What is the sum of the areas of the shapes R and S?
______ cm2
(1 mark)
11 1Sabrina asks her class of 20 students which is their favourite film genre.
Here is her data.
Genre
Frequency
Romance
4
Horror
1
Comedy
5
Sci-fi
10
a Label this pie chart with the genres to represent Sabrina’s data.
(2 marks)
b What percentage of her class favour Romance?
______ %
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
(1 mark)
Paper 2 (non-calculator)
for Key Stage 3
12 1Alex makes a sequence with the term-to-term rule
a Complete the first five terms of Alex’s sequence.
1, _____ , _____ , _____ , _____
(2 marks)
Alex correctly thinks that the position-to-term rule is
Position × 3 – some number
b What is the number that makes Alex’s rule work?
______
(2 marks)
13 1Here is a table of data about the hair and eye colour of girls in a class.
Blue
Brown
TOTAL
Blonde
4
2
6
Brown
3
6
9
TOTAL
7
8
15
HAIR
EYES
a How many girls have
i
blue eyes
______
(1 mark)
ii brown eyes?
______
(1 mark)
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
Paper 2 (non-calculator)
for Key Stage 3
13 1cont.
b What is the ratio of blue eyed : brown eyed girls?
c
________
(1 mark)
________
(1 mark)
______
(2 marks)
What proportion of the girls have blonde hair?
14 a Solve this equation for x.
b Complete this sentence using phrases from this list:
horizontal
vertical
y-axis
x-axis
The graph of x = 5 is a ________________ line passing
through (5, 0) and is parallel to the ________________.
(2 marks)
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
Paper 2 (non-calculator)
for Key Stage 3
15
A cube has sides of length 5 cm.
a What is the area of one face of the cube?
______ cm2
(1 mark)
Sixteen of these cubes are put together to form a cuboid.
b How many faces of the cubes are showing on the cuboid?
c
______
(1 mark)
______ cm2
(1 mark)
What is the surface area of the cuboid?
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test
Paper 2 (non-calculator)
for Key Stage 3
16 This table shows the number of petals on the flowers of plants.
Plant
Number of petals
A
5
B
8
C
4
D
5
E
3
F
5
G
6
a Arrange the data into ascending order.
___, ____, ___, ___, ___, ___, ___
(1 mark)
b What is the modal number of petals (the mode)?
c
______
(1 mark)
______
(1 mark)
______
(1 mark)
What is the median number of petals?
d What is the range of the data set?
© Oxford University Press 2014. Acknowledgements:
www.oxfordsecondary.co.uk/acknowledgements
2B Phase Test