Numeracy for Construction – Revision Activities
1. Draw a scale diagram to represent a rectangular block measuring 14m long, 10m wide and
8m tall.
2. The following table shows the numbers of days off that workers in a particular construction
firm had in a year.
Days Off
0<2
2<4
4<6
6<8
8<10
10+
Frequency
12
11
8
5
4
1
Draw an appropriate chart which would allow you to show the age distribution of shoppers
at the store.
Comment on the modal age of the shoppers.
3. The graph below shows the population of Falkirk as recorded in 2014.
Answer the following questions:
(a) Which age group includes a population of approximately 14000 females?
(b) What is the total population in the 75+ age group?
(c) How many men living in Falkirk are below the age of 45?
4.
The formula for the volume of a cone is
1
𝑉 = 𝜋𝑟 2 ℎ
3
Where r is the radius of the base and h is the perpendicular
height of the cone. Use this to calculate the volume of the
cone shown in the following diagram.
10cm
6cm
5. The formula for compound interest is
𝑖 𝑛
𝑉 = 𝐴 (1 +
)
100
Where V is the amount in the bank, A is the amount initially
invested, i is the interest rate and n is the number of years.
Use this formula to calculate the amount of money in a bank
account when £850 is deposited at an interest rate of 5.1%
over 4 years.
6. Pythagoras’ Theorem for right angled triangles is
a2 = b2 + c2.
If this ladder is 3.8m long and the foot of the ladder is 0.8m
from the wall, use Pythagoras’ Theorem to calculate how far up
the wall the ladder will reach.
7. The formula for the standard deviation of a set of observations
is:
∑ 2
∑(𝑥 − 𝑥̅ )2 √∑ 𝑥 2 − ( 𝑠) ⁄𝑛
𝑠=√
=
𝑛−1
𝑛−1
Calculate the standard deviation of the following set of
observations:
2, 3, 6, 7, 12