Number
Evaluate -9 + -6
-15
State the coefficient of x:
6xy + 2x - 4y2 + 3
2
Evaluate (-5)3
-125
Convert the measurement to the units given in brackets:
2cm (mm)
20 mm
In a pencil case there are 6 coloured pencils, 2 black pens, 1 red pen, 5 textas, 3 lead pencils, and a ruler. Write the simplified ratio of lead pencils to coloured pencils.
1 : 2
Evaluate 6.4 x 0.5
3.2
If x=2, what is 3x + 5?
11
Simplify the expression m2 x m5
m7
Find the area of a circle with a radius of 5cm.
Give your answer to 1 decimal place.
78.5 cm2
Simplify the following ratio 75 : 100
3 : 4
Round this decimal to three decimal places:
3.57964
3.580
Simplify this expression:
3a - 5b - a + 2b
2a - 3b
Simplify the expression:
3m7 x 4m
12m8
Find the area of a triangle with a base of 18m and a height of 7m
63m2
Simplify the ratio by first converting to the same units
2cm : 8 mm
5 : 2
Calculate the exact value of:
5+3x(8-22)
17
Simplify this expression 9a x 4b
36ab
Calculate 4-1/2
1/2
Find the circumference of a circle with a diameter of 10mm.
Round your answer to two decimal places.
62.83mm
Divide $80 into the ratio 7 : 9
$35 and $45
Express this number in standard form:
0.0000058
5.8 x 10-6
Factorise fully 12x + 3xy
3x(4 + y)
Calculate 163/2
64
Find the area of a semi-circle with a diameter of 5 mm.
Round your answer to 1 d.p.
9.8 mm2
Calculate the gradient of the line that passes through (2, 5) and (6, 17).
(remember gradient is the change in y over the change in x)
3