Exam style questions - Hodder Plus Home

Now try these exam questions
1 The following paragraph is taken from the
introduction to this book.
‘If you know that your knowledge is worse in certain
topic areas, don’t leave these to the end of your
revision programme. Put them in at the start so
that you have time to return to them nearer the
end of the revision period.’
Complete the grouped frequency table for the
number of letters in the words in the above
paragraph. [3]
Number of letters
in a word
Number of words
Class interval Tally Frequency
1−3
6 The table below shows the number of letters
per word in the first paragraph of two books.
Number of letters (n)
Frequency
Book 1 Book 2
0 < n < 5 38 35
5 < n < 10 29 21
10 < n < 15 7 13
15 < n < 20 0 2
Compare the median, mean and range in the
number of letters per word of the two
paragraphs. [4]
2 The weights, in kilograms, of a rowing crew are as
follows.
80 83 83 86 89 91 93 99
Calculate
a the mean. [3]
b the range. [2]
3 The following data shows the number of people
using a particular footbridge on each day in June.
7 12 14 5 3 6
8 2 13 17 7 1
3 9 5 17 22 7
7 6 8 10 23 18
6 4 1 9 7 19
a Calculate the range of these data. [2]
b Calculate the mean number of people per day. [4]
c Find the mode. [1]
4 The data below shows the time taken, in minutes,
by each of 30 students to solve a puzzle.
3 6 14 18 20 14 6 16
13 7 15 8 15 10 14 10
15 5 4 9 16 9 15 12
14 10 6 13 15 12
What is the modal class [1]
5 A school has to select one student to take part in
a general knowledge quiz.
Kim and Pat took part in six trial quizzes. The
following table shows their scores.
9 Sequences 1
Here is an exam question …
a These are the first four terms of a sequence.
2, 9, 16, 23
i Write down the term-to-term rule. [1]
ii Find the sixth term of this sequence. [1]
b These are the first four terms of a sequence.
29, 25, 21, 17
i Find the seventh term. [1]
ii Explain how you worked out your answer. [1]
c Here is the term-to-term rule for another sequence.
Multiply the previous term by 4 then subtract 1.
The first term of the sequence is 2.
Find the third term. [1]
… and its solution
a i the rule is + 7
ii 37
23 + 7 + 7 = 37
b i 5
ii The rule is −4 and
17 − 4 − 4 − 4 = 5
c 27
2 × 4 − 1 = 7, 7 × 4 − 1 = 27
Kim 28 24 21 27 24 26
Pat 33 19 16 32 34 16
a Calculate Pat’s mean score and range. [2]
b Which student would you choose to represent
the school
Explain the reason for your choice, referring to
the mean scores and ranges. [2]
© Hodder Education 2011 Unit A
7