Ratios
What is the ratio of 3 apples to 5 oranges?
3:5
A car travels 60 km in 2 hours. What is its average speed?
30 km/h
What is the y-intercept of y=2x+5
y=5
What is the coefficient of x in 7x+3
7
What is the next number in the sequence?
3, 7, 11, 15, ___
19
Simplify the ratio 12:18.
2:3
A cyclist travels at 15 km/h for 3 hours. How far does the cyclist travel?
45 km
WHat is the coordinate 6 to the left of the origin?
(-6,0)
Simplify: 5y-4x+8+3x−2
5y-x+6
What is the area of a rectangle with length 8 cm and width 5 cm?
40 cm²
The ratio of boys to girls in a class is 3:4. If there are 12 boys, how many girls are there?
16
Which is the better buy?
750 g for $5.25
What is the equation of a line that has a gradient of -4 and a y-intercept of 2?
y=-4x+2
If a=−2 and b=5, find the value of 3a−2b+4
-12
Solve:
3x+5=20
x=5
Simplify the ratio 1.5 : 2.5.
3:5
On a distance–time graph, what does a horizontal line represent?
The object is stationary.
Is the point (−2, 7) on the line y=−3x+1?
Yes
If x=−3 and y=4, find the value of 2x2-3y
6
Two angles are complementary. One angle is 37o.
What is the size of the other angle?
53o
The ratio of red, blue and green counters is 3:4:5. There are 48 counters altogether. How many blue counters are there?
16
Convert 72 km/h to m/s.
20 m/s
A straight line passes through the points (0,3) and (2,11). What is its gradient?
m=4
A number is increased by 3, then the result is multiplied by 5. The final answer is 40. Write an equation to represent this statement.
5(x+3)=40
A jacket costs $240 and is reduced by 35%. What is the sale price?
$156