Unit 5: Data
Unit 6: Surface Area/Volume/Capacity
Unit 6: Capacity and Volume /Units of Mass
Unit 7: Transformations
Unit 11: Probability
100
What Inference can you make about this graph?
Many options for answers:
Ex.
Black or grey cars have the double of red
100
Find the volume of a rectangular prism with length 10cm, width 5cm and hight 2cm.
100 cm3
100
A large car has a mass of 6400kg. Write this mass in tonne.
6.4 tonne
100
True or False: A line of symmetry divides a figure or design into two congruent parts.
True
100
When spinning the pointer of this spinner. What is the probability of getting and odd number? Write the answer as a percent.
3/5 = 6/10 = 60 %
200
A librarian recorded the number of books checked out by students over the past nine days:
12, 18, 15, 20, 10, 22, 14, 16, 24
What is the median number of books checked out?
10, 12, 14, 15, 16, 18, 20, 22, 24
Median 16
200
Find the Surface Area of a Rectangular prism with lenght 25m, height 12 m and width 20m.
25 x 12 = 300
25 x 20 = 500
12 x 20 = 240
SA = 2 x 1040 = 2080 m2
200
Complete:
a) 0.62 t = kg
b) 350 g = kg
c) 280 mg = g
a) 0.62 t = 620 kg
b) 350 g = 0.35 kg
c) 280 mg = 0.28 g
200
Which transformation can I use to describe line of symmetry?
Reflection
200
When tossing a coin and spin the pointer of a sppiner with 3 different colors, how many outcomes you will have?
2 x 3 = 6 outcomes
300
Why is this graph appropriate to show this situation?
Because it shows temperature changing overtime.
300
How many liters of water can fit in a swimming pool 20m long, 7m wide and 3 m deeep?
Remember that 1m3 = 1000 L
Volume = 20 m x 7m x 3m = 420 m3
It can fit 420 000 L of water300
A water tank can hold 350 000 L of water. What is the volume of this tank?
Remember that 1m3 = 1000 L
350 m3
300
What is tiling pattern?
A tiling pattern covers a surface with figures, with no gaps or overlaps.
300
There are 12 counters in a bag.
3 blue, 5 green, 2 yellow, and 2 black.
What is the probability someone will pick a blue counter? Write the answer as praction, decimal and percent.
3/12 = 1/4 = 25% = 0.25
400
A group of seven students did an OA and their scores are recorded below:
18, 15, 19, 13, 16, 19, 17, 12, 20, 11
Find the Mode, Mean and Median grade
11, 12, 13, 15, 16, 17, 18, 19, 19, 20
Median = 16.5
Mode = 19
Mean = 16
400
A rectangular prism is 12 cm long, 4 cm wide, and has volume of 624 cm3 . What is the height of the prism?
624 = 12 x 4 x hight
height = 13 cm
400
An elevator has a mass limit of 0.6 t.
a) How many kilograms can it hold?
b) If a family with 4 people (weights shown below) are already in the elevator, how many more people with about 60 kg can it hold?
Family weight: Father: 95kg, Mother: 66kg, Boy: 31kg, Girl: 48kg.
a) 600kg
b) 95 + 66 + 31 + 48 = 240kg
600 - 240 = 360kg
6 people x 60kg = 360kg
400
Draw triangle ABC
A(1,1), B(2,4), C(4,1)
Translate the triangle 6 units up and 4 units right.
Write the coordinates for final image.
A'(5,7), B'(6,10), C'(8,7)
400
Students in year 6 created a game using an octahedron labeled A, A, A, A, B, C, C, C. Use this information to answer the following questions.
a) What is the probability of a person landing on letter A? Write your answer as a fraction, a decimal and a percent %.
b) What is the probability of a person landing on letter B? Write your answer as a fraction, and in words.
c) What is the probability of a person landing on letter C? Write your answer as a fraction, and in words.
a) A = 4/8 = 50% = 0.5
b) B = 1/8 = very unlikely
c) C = 3/8 = unlikely
500
The number of customers who visited a small cafe each hour during a busy 8-hour shift was recorded as follows:
25, 30, 25, 35, 40, 20, 25, 32
Calculate the mean, median, and mode of the number of customers per hour.
Ordered List: 20, 25, 25, 25, 30, 32, 35, 40
Mean:
Sum of values: 25 + 30 + 25 + 35 + 40 + 20 + 25 + 32 = 232 divided by 8 = 29
Median:
The two middle values are the 4th and 5th values: (25 + 30) divided by 2 = 27.5
Mode: 25 customers
500
Find the Surface Area of a rectangular prism with length 2.4 cm, width 5.2cm, and height 3.3cm.
2.4 x 5.2 = 12.48
2.4 x 3.3 = 7.92
3.3 x 5.2 = 17.16
SA = 2 x 37.56 = 75.12 cm2
500
A small cargo airplane can safely carry a maximum load of 3.6 tonnes of luggage and freight.
a) How many kilograms can the airplane carry?
b) The airplane is loaded with the following cargo:
12 suitcases, each weighing 25 kg
6 boxes of mail, each weighing 40 kg
4 containers of equipment, each weighing 150 kg
How much weight is already on the airplane?
c) How much more weight can the airplane carry before reaching its maximum capacity?
d) If each extra container of equipment weighs 150 kg, how many more containers can be safely loaded?
a) 3600kg
b)
suitcases = 12 x 25 = 300kg
mail = 6 x 40 = 240kg
equipament = 4 x 150 = 600 kg
Total = 1140 kg
c) 3600 - 1140 = 2460 kg
d) 2460 divided 150 = 16 containers.
500
Draw a rectangle ABCD
A(1,5), B(1,9), C(3,9), D(3,5).
Rotate the Rectangle 1/4 clockwise about point D.
Then, reflect the image about a horizontal mirror line passing to point (0,4).
Write the coordinates for the FINAL IMAGE.
A"(3,1), B"(7,1), C"(7,3), D"(3,3).
500
In a game, players must spin the pointer of this sppiner twice. Sofia and Helana are playing the game. Helena wins if the pointer lands both numbers are even, otherwise Sofia wins. Is the game fair?
Write the probability of each player to win.
11 12 13 14 15
21 22 23 24 25
31 32 33 34 35
41 42 43 44 45
51 52 53 54 55
Helena = 9/25 = 45%
Sofia - 55 %