1aWrite these fractions as decimals to an appropriate degree of accuracy.
i= ______ii= ______(1 mark)
bWrite these decimals as fractions (in their lowest terms).
i0.8= ______ii0.65 = ______(1 mark)
2aFive loaves of bread cost £5.35.
Find the cost of three loaves.
£ ______(1 mark)
bEmma makes shoulder bags for sale. A bag costs her £24 to make. She then adds on 60% profit before selling it.
iWhat is the profit amount?
£ ______(2marks)
ii What is her selling price?
£ ______(1 mark)
cThe cost of heating oil in January was 65% more than the cost in July. Mr Watson spent £300 on oil in July.
What would the price have been in January?
£ ______(3marks)
3There are 18 girls in a class of 25 pupils.
aWhat fraction of the class are girls?
i______(2 marks)
bWhat percentage of the class are girls?
ii______(2 marks)
4Here are six cards.
Event W is ‘choosing any letter’.
Event X is ‘choosing any number’.
Event Y is ‘choosing a vowel’.
Event Z is ‘choosing an even number’.
Answer the questions below:
aWhat does mutually exclusive mean?(1 mark)
______
______
bAre events W and Y mutually exclusive?Yes / No(1 mark)
cAre events X and Z mutually exclusive?Yes / No(1 mark)
dAre events W and X mutually exclusive?Yes / No(1 mark)
5A coin is tossed 12 times to land heads (H) or tails (T) with the results occurring in this order:
H H H T T T T T T T T T
aMake two comments about these results.
1.______
______(1 mark)
2.______
______(1 mark)
b‘The next result will be a tail.’
Do you agree or disagree with this statement?
Give your reason.
______
______(2 marks)
c‘The next result may be a tail.’
Do you agree or disagree with this statement?
Give your reason.
______
______(2 marks)
6 You choose one letter at random from the word
PROBABILITY
Find these probabilities, and write your answers as fractions in their lowest terms.
aP(choosing a letter B)
a______(1 mark)
bP(not choosing a letter B)
b______(1 mark)
7Hea-Woo throws a fair dice.
Find the probability that the number showing is:
aan even number______(1 mark)
ba prime number______(1 mark)
ca number which is both even and prime.______(2 marks)
8The probability P of tomorrow being wet all day is 0.1.
The probability Q of tomorrow being dry all day is 0.3.
aOn this number line from 0 to 1, mark P and Q with two arrows. Label them P and Q.
(2 marks)
bFind the probability of tomorrow being a mixture of wetand dry.
______(2 marks)
9I spin this triangular spinner and this square spinner at the same time.
aComplete this table to show all the possible total scores I can have when adding the scores together.
Triangular / 32
1
1 / 2 / 3 / 4
Square
(2 marks)
bWhich are the most likely possible total scores?
______(1 mark)
cWhich are the least likely possible total scores?
______(1 mark)
10Would you carry out an experiment, an observation or a questionnaire in order to gather data to investigate
athe number of tosses of a coin before you get a head
a______(1 mark)
bthe number of customers at a corner shop
b______(1 mark)
cthe TV preferences of teenagers
c______(1 mark)
dthe times taken for different toasters to toast a slice of bread?
d______(1 mark)
11This bar chart shows the number of different pets owned by a class of pupils in a school.
aWhich pet is the mode?
______(1 mark)
bWhat is total number of pets owned by pupils in the class?
______(3 marks)
12A doctor sees 11 patients at his surgery.
The times (to the nearest minute) spent with each patient are:
5 7 8 10 5 5 7 9 8 5 8
aWrite these times in order with the smallest first.
______(1 mark)
bFind the median time of the data.
______min(2 marks)
cFind the mean time of the data.
______min(2marks)
Year 9 Term 1a Foundation Assessment