Linear Relationships, SM-Bank 024
The table below has a pattern. The top and bottom numbers are connected by a rule.
| Top Number | ||||
| Bottom Number |
- What is the rule connecting the top number and the bottom number? (2 marks)
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- What is the bottom number when the top number is
? (2 marks)
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Linear Relationships, SM-Bank 023
The table below has a pattern. The top and bottom numbers are connected by a rule.
| Top Number | 21 | 18 | 15 | 12 |
| Bottom Number | 7 | 6 | 5 | 4 |
- What is the rule connecting the top number and the bottom number? (2 marks)
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- What is the bottom number when the top number is
? (2 marks)
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Linear Relationships, SM-Bank 022
The table below has a pattern. The top and bottom numbers are connected by a rule.
| Top Number | 2 | 4 | 6 | 8 |
| Bottom Number | 8 | 16 | 24 | 32 |
- What is the rule connecting the top number and the bottom number? (2 marks)
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- What is the bottom number when the top number is 15? (2 marks)
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Linear Relationships, SM-Bank 022
Sabre is saving to buy a new skateboard.
After one week she has saved $11.
She then saves the same amount of money each week.
| Week | 1 | 2 | 3 | 4 |
| Total Amount Saved | $11 | $18 | $25 | $32 |
- State the rule linking the week and the total amount saved. (2 marks)
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- How much money will Sabre have saved by the end of week 10? (2 marks)
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Linear Relationships, SM-Bank 020 MC
Jerry's wage is calculated using an amount per hour plus a travel allowance.
This table shows some of Jerry's wage amounts.
| Hours | 1 | 2 | 3 | 4 |
| Wage | $85 | $140 | $195 | $250 |
How are Jerry's wages calculated?
- $40 per hour + $35 travel allowance
- $60 per hour + $25 travel allowance
- $55 per hour + $30 travel allowance
- $45 per hour + $40 travel allowance
Linear Relationships, SM-Bank 019 MC
A plumber calculates the price of a job using a service fee and an amount per hour.
This table shows some of the job prices.
| Hours | 1 | 2 | 3 | 4 |
| Job price | $90 | $130 | $170 | $210 |
How are the jobs calculated?
- $50 service fee + $40 per hour
- $58 service fee + $32 per hour
- $60 service fee + $30 per hour
- $70 service fee + $20 per hour
Linear Relationships, SM-Bank 018 MC
Jennifer had 20 cupcakes for sale at the beginning of the day. The table shows the number of cupcakes at the beginning of each hour.
| Hour | 0 | 1 | 2 | 3 |
| Cupcakes | 20 | 16 | 12 | 8 |
The table also shows a pattern in the number of cupcakes sold. The correct pattern connecting the hour and the number of cupcakes is:
Linear Relationships, SM-Bank 017 MC
This table shows the growth of a plant, in centimetres, over a 4 week period.
| Week | 1 | 2 | 3 | 4 |
| Growth (cm) | 3 | 4 | 5 | 6 |
The table also shows a pattern in the growth of the plant. The correct pattern connecting the week and the growth is:
Linear Relationships, SM-Bank 016 MC
This chart shows the longest run, in kilometres, that Deek ran each week over 4 weeks.
| Week | 1 | 2 | 3 | 4 |
| Longest Run (km) | 8 | 11 | 14 | 17 |
The chart also shows a pattern in Deek's running. The correct pattern connecting the week and the longest run is:
Linear Relationships, SM-Bank 015 MC
The table below has a pattern. The top and bottom numbers are connected by a rule.
What is the top number when the bottom number is 27?
Linear Relationships, SM-Bank 014 MC
The table below has a pattern. The top and bottom numbers are connected by a rule.
What is the top number when the bottom number is 28?
Linear Relationships, SM-Bank 013
Plot and label the following points on the grid below. (2 marks)
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Show Worked Solution
Linear Relationships, SM-Bank 012
Christian draws a triangle on a number plane as shown below.
What are the coordinates of the point at vertex
Linear Relationships, SM-Bank 011
Karl draws a rectangle on a number plane as shown below.
What are the coordinates of the point
Linear Relationships, SM-Bank 010
Plot and label the following points on the grid below. (2 marks)
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Show Worked Solution
Linear Relationships, SM-Bank 009
Plot and label the following points on the grid below. (2 marks)
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Show Answers Only
Show Worked Solution
Linear Relationships, SM-Bank 008 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 007 MC
Linear Relationships, SM_Bank 006 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 004 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 003 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 002 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 001 MC
The co-ordinates of the point
Equations, SM-Bank 069
Find the value of
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Equations, SM-Bank 068
Find the value of
Equations, SM-Bank 067
Find the value of
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Equations, SM-Bank 066
Solve the quadratic equation
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Equations, SM-Bank 065
Solve the quadratic equation
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Equations, SM-Bank 064
A square has an area of
- Find the side length of the square. (2 marks)
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- Find the perimeter of the square. (2 marks)
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Equations, SM-Bank 063
A square has an area of
- Find the side length of the square. (2 marks)
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- Find the perimeter of the square. (2 marks)
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Equations, SM-Bank 062
Solve, giving all solutions correct to 1 decimal place.
(2 marks)
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(2 marks)
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Equations, SM-Bank 061
Solve, giving all solutions.
(2 marks)
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(2 marks)
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Equations, SM-Bank 060
Show that
Equations, SM-Bank 059
Show that
Equations, SM-Bank 058
Show that
Equations, SM-Bank 057 MC
Which of the following is not equal to
Equations, SM-Bank 056 MC
Which of the following is not equal to
Special Properties, SMB-013 MC
Which statement is always true?
- Scalene triangles have two angles that are equal.
- All angles in a parallelogram are equal.
- The opposite sides of a trapezium are equal in length.
- The diagonals of a rhombus are perpendicular to each other.
Special Properties, SMB-011 MC
Equations, SM-Bank 056
The formula for converting degrees Celsius to Fahrenheit is
- Find
is . (2 marks)
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- Find
is . (2 marks)
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Equations, SM-Bank 055
Solve
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Equations, SM-Bank 054
Solve
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Equations, SM-Bank 053
Write an algebraic equation for the perimeter of the rectangle below and use it to calculate the value of
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Equations, SM-Bank 052
An isosceles triangle has a perimeter of
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Equations, SM-Bank 051
A rectangle has a length of
Equations, SM-Bank 050
Find the value of
Equations, SM-Bank 049
Find the value of
Equations, SM-Bank 048
Solve
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Equations, SM-Bank 047
Solve
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Equations, SM-Bank 046
Solve
Equations, SM-Bank 045
Find the value of
Equations, SM-Bank 044
Find the value of
Equations, SM-Bank 043
Find the value of
Equations, SM-Bank 042
Find the value of
Equations, SM-Bank 040
Find the value of
Equations, SM-Bank 041
Find the value of
Equations, SM-Bank 039
Solve the equation
Equations, SM-Bank 038
Solve the equation
Equations, SM-Bank 37
Solve the equation
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