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

Calculator not allowed60 marks total

1Mary has a list of numbers.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

aWrite all the numbers in the list that are square numbers.

______(2 marks)

bWrite all the numbers in the list that are prime numbers.

______(2 marks)

cExplain why the number 1 is not prime.

______(1 mark)

2Felicity wants to bake a cake for six people.

She uses a recipe that includes these ingredients.

aHow many eggs will Felicity need?

______(1 mark)

2cont.

bWill a 200g bag of flour be sufficient for her cake?

You must show your working.

Yes / No(2 marks)

Felicity’s measuring cup holds 30 g.

cHow many cups of flour will she use?

______cups(1 mark)

3Expand the brackets in these expressions.

a3(2x − 4)

______(2 marks)

bx(x + 3)

______(2 marks)

4Charlie has a fair spinner divided into eight equal sections.
Half of these are shaded.

aWhat is the probability the arrow lands on an even number?

______(1 mark)

bWrite the probability the arrow lands on a cube number.

______(1 mark)

cWhat is the probability of the spinner landing on a shaded, odd numbered section?

______(2 marks)

5This 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
Total / 12 / 6 / 18

aWhich breed makes up 25% of adult dogs at the kennel?

______(1 mark)

bWhat fraction of all the dogs at the kennel are retrievers?

______(1 mark)

cFor which breeds are the number of puppies more than the number of adult dogs?

______(2 marks)

6Here is a map of four paths.

aWhat is the acute angle between paths A and B?

______°(2 marks)

bThe 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)

7Here is a list of numbers.


aUse the numbers to find pairs of x and y which satisfythe equation.

One has been done for you.

x / y
2 / 0

(2 marks)

7cont.

bPlot the points from your table on the axes and thus draw the graph of x – y = 2.

(2 marks)

8Walter goes to his local shop, where there is an offer on toothpaste.

aHow much would six individual tubes cost?

£ ______(1 mark)

bWhat is the overall saving if Walter buys a pack of six instead?

£ ______(1 mark)

8cont.

cWhat 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.

a36÷ ______= 0.1(1 mark)

b360÷ ______= 3.6(1 mark)

c0.36______= 36(2 marks)

10In this diagram, S is the image of the polygon R after reflection in the mirror line. It is drawn on 1 cm2 dotted paper.

aDraw the shape R on the diagram.(2 marks)

101cont.

bWhat is the sum of the areas of the shapesR and S?

______cm2(1 mark)

111Sabrina 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

aLabel this pie chart with the genres to represent Sabrina’s data.

(2 marks)

bWhat percentage of her class favour Romance?

______%(1 mark)

121Alex makes a sequence with the term-to-term rule

aComplete 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

bWhat is the number that makes Alex’s rule work?

______(2 marks)

131Here is a table of data about the hair and eye colour of girls ina class.

EYES
HAIR / Blue / Brown / TOTAL
Blonde / 4 / 2 / 6
Brown / 3 / 6 / 9
TOTAL / 7 / 8 / 15

aHow many girls have

iblue eyes______(1 mark)

iibrown eyes?______(1 mark)

131cont.

bWhat is the ratio of blue eyed : brown eyed girls?

______(1 mark)

cWhat proportion of the girls have blonde hair?

______(1 mark)

14aSolve this equation for x.

______(2 marks)

bComplete 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)

15

A cube has sides of length 5 cm.

aWhat is the area of one face of the cube?

______cm2(1 mark)

Sixteen of these cubes are put together to form a cuboid.

bHow many faces of the cubes are showing on the cuboid?

______(1 mark)

cWhat is the surface area of the cuboid?

______cm2(1 mark)

16This 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

aArrange the data into ascending order.

___, ____, ___, ___, ___, ___, ___(1 mark)

bWhat is the modal number of petals (the mode)?

______(1 mark)

cWhat is the median number of petals?

______(1 mark)

dWhat is the range of the data set?

______(1 mark)