2. Term 4 Week 1 Lesson 1
1. Isabella is paid a normal hourly rate of $13.20 per hour.
Calculate her wage for a week in which she works 16 hours
at normal pay and 3 hours at time-and-a-half.
42 cm
2. Solve for x: 35°
x
3. Give an example of data which is classified as discrete.
4. Petrol costs $1.29 per litre. Dom’s car uses 8L per 100km.
How far can she travel on $20 worth of petrol?
5. In a bag there are 3 red, 4 blue and 5 white discs.
One disc is chosen at random.
What is the probability of choosing a white disc?
3. Term 4 Week 1 Lesson I
Answers
1. 16 × $13.20 + 3 × 1.5 × $13.20 3.
= $270.60
4. 20 ÷ 1.29 = 15.503...L
x
2. sin 35° = 15.503...L ÷ 8 × 100
42
= 193.798...km
x = 42 × 0.573...
x = 24.1cm
5. 5
12
4. Term 4 Week 1 Lesson 2
1. Jan invested $4500 at a simple interest rate of 5.3% p.a.
for 3years and 6 months. Calculate the interest earned.
2. Calculate the mean of:
2, 4 , 5, 5, 5, 7, 12, 15
3. The angle of elevation to the top of tower
from a point A is 48
The tower is known to be 162m high. How far is point A from
the base of the tower?
3x − 4
4. Solve = 22
5
5. In how many ways can you organise 4 people in a line?
5. Term 4 Week 1 Lesson 2
Answers
1. $4500 x 0.053 x 3.5 =$834.75
2. 2+4+5+5+5+7+12+15 = 6.875
8
3. 162
Tan48 =
162m x
48 A 162
x= = 145.865...m
3x − 4 tan 48
4. = 22
5
3x − 4 = 110
5. 4x3x2x1=24
3x = 114
x = 38
6. Term 4 Week 1 Lesson 3
1. John receives a gross pay of $631.80 for a 36 hour week.
What is his hourly rate of pay?
2. Write down 5 numbers that have a mean of 8.
3. The ratio of lemon to orange to lime trees in an orchard is
5:3:2. If there are 2000 trees in the orchard, how many
lime trees are there?
4. Solve 5 − 3( 2x − 1) = 22
5. A three digit number is to be formed using the
digits 3, 4, 6. How many more numbers can be
formed if the digits can be repeated?
8. Term 4 Week 1 Lesson 4
1. Rod receives a weekly gross salary of $458. Calculate
his monthly gross salary.
2. Calculate the volume of
12cm
the triangular prism shown. 20cm
15cm
3. x f For the given frequency table, find:
11 3 a. the mean
12 5 b. the median
13 4 c. the mode
14 6
4. A coin is tossed and a die is rolled. What is the
probability of obtaining a tail and a number less than 5?
9. Term 4 Week 1 Lesson 4
Answers
1. $458x52/12=$1984.67.
2. 1
12cm × 15 × 12 × 20 = 1800cm 3
20cm
2
3. 15cm
x f 11 × 3 + 12 × 5 + 13 × 4 + 14 × 6 = 229 = 12.7
a. the mean =
11 3 18 18
b. the median =13
12 5
13 4 c. the mode =14
14 6
4. n(S)=2x6=12
4 1
P(T,<5)= =
12 3