Numbers
Simplify the ratio 24:16
3:2
What's the input if the output is 20.
input ----- x3 ----- +2 ------- output
6
Convert 11.2 ha to m2.
112000 m2
"The mass of rice in a recipe" - Discrete, continuous, or categorical data?
continuous
Work out the 115% of $30
$34.5
See question on google slide 2
a. y = 5
b. x = 2
c. x = -0.75
Convert the following.
a. 8 cm2 to mm2
b. 780 cm2 to m2
a. 800 mm2
b. 0.078 m2
Each letter of the word MATHEMATICS is written on a separate card.
The cards are placed face down. One card is chosen without looking.
Work out the probability that the card is a letter in the word SCIENCE.
4/11
Lim buys two packets of chips for $1.40. Work out the cost of five packets of chips.
$3.5
Find the distance between two points.
a. (2 , 1) and (2, -4)
b. (2, -4) and (4, -4)
a. 5
b. 2
See question on slide 4
155 mm2
A parallelogram, PQRS, has vertices at the points P (3, 1), Q (8, 1), R (10, 4) and S (5, 4).
PQRS is translated 1 square left and 3 squares up. The image of PQRS is P´Q´R´S´.
Work out the coordinates of the vertices of P´Q´R´S´.
P′(2, 4), Q′(7, 4), R′(9, 7), S′(4, 7)
Arun has 80 stamps. He uses 12 of them and gives 60 to the other people.
Work out the percentage:
a. he gives to other people
b. he has left
a. 75%
b. 10%
Work out the nth term of these sequences.
a. 5, 7, 9, 11, 13, ...
b. 1, 6, 11, 16, ...
a. 2n+3
b. 5n-4
See question on slide 5
1 = 70o
2 & 3 = 65o
4 = 115o
5,6,7 = 45o
These are the ages, in years, of the members of a fitness class.
57 56 51 59 51 56 58 58 51 53 50 51 54 51
Work out the:
a. Mean age b. Median age c. Mode age d. Range
a. 54 years
b. 53.5 years
c. 51 years
d. 9 years
Jim makes a drink by mixing apple juice with water in the ratio 1:4.
Tim makes a drink by mixing apple juice with water in the ratio 2:7.
Who has the drink with the higher proportion of apple juice? Explain how you worked out your answers.
Jim = apple juice to water = 7:28
Tim = apple juice to water = 8:28
Tim has a higher proportion of apple juice.
See question on slide 3
y = 3x
See question on slide 6
a. Volume = 144 cm3
b. Surface area = 180 cm2
Priyanka draws a scale drawing of a room. She uses a scale of 1 cm represents 40 cm.
a. On her drawing the room is 12 cm long. How long is the room in real life? Give your answer in metres.
b. The room in real life is 5.6 m wide. How wide is the room on the scale drawing? Give your answer in centimetres.
a. 4.8 m
b. 14 cm