Exam style questions - Hodder Plus Home

Exam questions: Unit A
4 Bob and Eddie each collect pebbles from two different places on a beach. They measure the maximum
diameter of 20 pebbles they have collected and record the data. All the measurements are in centimetres.
Bob records his measurements in a stem-and-leaf diagram:
1 0
2 0 1 2 2 5 5 7 8
3 0 0 1 1 3 4 7 8 9
4 0 6
Key 1 ⏐ 9 means 1.9 cm
a Write down the range and the median diameter of Bob’s pebbles. [2]
Eddie’s pebbles have the following measurements.
1.2 5.5 2.2 2.1 3.4
1.8 4.5 3.2 3.0 1.4
3.3 4.9 2.1 2.1 2.8
4.8 4.2 1.9 3.8 1.1
b Draw a stem-and-leaf diagram for Eddie’s pebbles and find the range and median. [2 + 2 + 1]
c Compare the two distributions. [2]
5 The numbers below show how many correct answers each person had in a quiz.
23 12 21 24 18 15 20 19 22 21 17 16
9 20 23 21 18 27 25 28 29 23 14 23
21 25 19 23 20 30 24 2 26 13 27 18
a Draw an ordered stem-and-leaf diagram to show this information. [3]
b What was the range of the scores [1]
c What was the modal score [1]
17 Equations 2
Here is an exam question …
Solve the following equations.
a 2(3 − x) = 1 [3]
b 5 x + 8 = 6
[3]
3
c 4(x + 7) = 3(2x − 4) [4]
… and its solution
a 2(3 − x) = 1
6 − 2x = 1
−2x = −5
x = 2 1 2
b 5 x + 8 = 6
3
5x + 8 = 18
5x = 10
x = 2
c 4(x + 7) = 3(2x − 4)
4x + 28 = 6x − 12
40 = 2x
x = 20
Now try these exam questions
1 Solve these.
a 3x = x + 1 [2]
b 3p − 4 = p + 8 [3]
c 3 m = 9
4
[2]
2 Solve 3(p − 4) = 36. [3]
3 Solve 4(x − 1) = 2x + 3. [3]
16 Revision Notes © Hodder Education 2011