Name
Class
Question
Pre Public Exam Unit 1
June 2016
Mathematics Foundation
Tier
WJEC Style
Non-Calculator
Time
minutes
1 hour 45
Marks Available
65 marks
Maximum
mark
1
6
2
5
3
2
4
4
5
5
6
5
7
3
8
6
9
6
10
6
11
3
12
4
13
5
14
3
15
2
Total
65
Commissioned by The PiXL Club Ltd.
1
Mark
2
1. (a) Write the number 4 311 000 in words.
[1]
…………………………………………………………………………………………………...
…………………………………………………………………………………………………...
(b) Write the number forty–seven thousand and three in figures.
[1]
…………………………………………………………………………………………………...
(c) What is the sum of 357 and 235?
[1]
…………………………………………………………………………………………………...
…………………………………………………………………………………………………...
…………………………………………………………………………………………………..
(d) Write down the multiple of 7 which lies between 50 and 60.
[1]
…………………………………………………………………………………………………...
(e) Write down all the factors of 27.
[2]
…………………………………………………………………………………………………...
3
2. (a) Using only the list of names given below, write down the correct name of each of the shapes.
Square
Hexagon
Rectangle
Isosceles triangle
Trapezium
Pentagon
Rhombus
Kite
(b) Circle either TRUE or FALSE for each of the following statements.
[2]
A hexagon has 6 sides
TRUE
FALSE
A trapezium has a pair of parallel sides
TRUE
FALSE
A parallelogram has two sides that are perpendicular
TRUE
FALSE
An octagon has six lines of symmetry
TRUE
FALSE
A kite has no lines of symmetry
TRUE
FALSE
4
[3]
3. Using each of the numbers 1, 5, 6 and 9 once only, fill in the blanks to make each statement
correct.
[2]
(a)
(b)
36
x
+
÷
-
7
= 37
= 3
4. (a) Choose one term from the list below to describe the chance of each of the following events
happening.
impossible
(i)
unlikely
even chance
likely
certain
You will obtain an even number when a fair six-sided dice numbered 1 to 6 is rolled.
[1]
.....................................................................................................................................
(ii)
Selecting a day of the week containing the letter T.
[1]
.....................................................................................................................................
(b)
Dewi has a bag with pink and blue balls in it. There are 40 pink balls and 60 blue balls.
Dewi chooses one ball at random from his bag.
On the probability scale below, mark the points A and B where:
A is the probability that Dewi chooses a blue ball,
B is the probability that Dewi chooses a green ball.
0
[2]
1
5
5. Fran recorded the colour of every horse who competed in the Grand National 2016. The colours were
Black (B), Chestnut (C), Grey (G) and Spotted (S).
The data she collected is shown below.
B
B
S
C
C
C
G
C S
G B C
C
C
C
G
B
B
C
S
S
(a) Complete the following table using the above data.
Football team
Black (B)
Tally
C B
[2]
Frequency
//// /
Chestnut (C)
Grey (G)
Spotted (S)
(b) Draw a suitable graph to show this data on the grid below.
6
[3]
6.
(a) Work out 6% of £300.
[2]
...................................................................................................................................................
...................................................................................................................................................
...................................................................................................................................................
(b) Work out
3
7
of 210.
[2]
...................................................................................................................................................
....................................................................................................................................................
...................................................................................................................................................
(c) Simplify 18f – 21f + 5f.
[1]
...................................................................................................................................................
...................................................................................................................................................
...................................................................................................................................................
7
7.
Circle the correct answer for each of the following questions.
(a)
201
The fraction 603 is the same as
[1]
(b)
When a = 2 and b = 5, then 4a + b is equal to
47
(c)
135
13
3
38
[1]
4
4
4·525
[1]
Half of 9 is
4·55
8
8. You will be assessed on the quality of your organisation, communication and accuracy in writing in
this question.
The prices of tickets for the Welsh Festival in 2015 were as follows:
Adults
Seniors (60+)
Children (5 to 15)
£18
£12
£4
Mrs Jones paid for 2 adults, 1 senior and 1 child with three £20 notes.
How much change did Mrs Jones receive?
[6]
..…………………………………………………………………………………………………
..…………………………………………………………………………………………………
..…………………………………………………………………………………………………
..…………………………………………………………………………………………………
..……………………………………………………………………………………………………………………………………………..
..……………………………………………………………………………………………………………………………………………..
..……………………………………………………………………………………………………………………………………………..
..…………………………………………………………………………………………………………………………………………….
..……………………………………………………………………………………………………………………………………………..
.………………………………………………………………………………………………………………………………………………
..……………………………………………………………………………………………………………………………………………..
.………………………………………………………………………………………………………………………………………………
9
9. Calculate the following.
a. 10² × 23
[2]
..……………………………………………………………………………………………………………………………………………......
..………………………………………………………………………………………………………………………………………………...
b. 0·4 × 0·6
[1]
..…………………………………………………………………………………………………………………………………………………..
c. 6·7 - 3·25
[1]
..…………………………………………………………………………………………………………………………………………………..
..………………………………………………………………………………………………………………………………………………….
..………………………………………………………………………………………………………………………………………………….
d.
-
[2]
..………………………………………………………………………………………………………………………………………………….
..………………………………………………………………………………………………………………………………………………….
..………………………………………………………………………………………………………………………………………………….
10
10. (a) Write down the next two numbers in the following sequence.
18
14
10
6
.........
[2]
.........
........................................................................................................................................................
.......................................................................................................................................................
(b)
Simplify the expression 9x + 4y - 7x - 6y.
[2]
......................................................................................................................................................
......................................................................................................................................................
(c)
Using the formula Q = 7P + 2S, find the value of S when Q = 36 and P = 4
.....................................................................................................................................................
.....................................................................................................................................................
......................................................................................................................................................
11
[2]
11. Showing all of your workings, find which of the quantities
9
20
, 0.46 and 43% is
(i) the smallest, (ii) the largest
………………………………………………………………………………………………………………………………………...
………………………………………………………………………………………………………………………………………...
………………………………………………………………………………………………………………………………………...
…………………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………………...
(i)
Smallest = ………………………(ii)
Largest = ………………………….
[3]
12. Calculate 30% of ¼ of 160
[4]
12
13. (a)
Find the size of angle x.
[2]
𝑥
65
Diagrams not drawn to scale
(b)
Find the size of angle y
[3]
13
14. (a) Solve the equation
9x + 5 = 3x + 29
………………………………………………………………………………………………………………………………………...
………………………………………………………………………………………………………………………………………...
………………………………………………………………………………………………………………………………………...
…………………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………………...
[3]
15. (a) For each of the following statements, circle whether it is true or false.
You must give an explanation for your choice.
(i) All prime numbers are always odd.
True / False
…………………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………………...
[1]
(ii) If you halve any whole number ending in 8 you will always get a number ending in 4.
True / False
…………………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………………...
14
[1]
15