Percentages
Ratios
Rounding & Estimating
Indices
surds
100
Nathan gets 17 out of 20 in a test. What percentage is this?
85%
100
Simplify the ratio
18 : 36 : 81
2 : 4 : 9
100
Round 9.96 to 1 decimal place
10.0
100
Simplify
(2^4 xx 2^11)/2^5
2^10
100
Simplify
sqrt(20)
2xx sqrt(5)
200
Miya gets $12 pocket money. It increases by 15%. How much does she now get?
$13.80
200
Sien shares $133 in the ratio 3:4.
How much is the largest share worth?
$76
200
Round 4 638 887 to 3 significant figures
4 640 000
200
Simplify
((3^5)^-2)/(3^7)
3^-17
200
Simplify
(sqrt(12))/(sqrt(21))
2/(sqrt(7))
300
Max buys a car for $15 000 and sells it a year later for $11 500, what is his percentage loss (to the nearest percent)?
23%
300
x sweets are shared between Amane and Jason in the ratio 7:5. If Amane gets 91, how many sweets were there altogether?
156
300
Bernia measures a pencil as 7.6cm to the nearest cm. What are the lower and upper bounds of the length?
7.55 cm and 7.65 cm
300
Simplify
(64x^9y^15)^(2/3)
16x^6y^10
300
Evaluate
(sqrt(5))^6
125
400
Medina invests $40 000 for 3 years at 2.5% per annum compound interest. How much does he have after 3 years (to the nearest cent)?
$43 075.63
400
Daisy has $26 500
The exchange rates are £1 = $1.96 and £1 = €1.14
How many Euros is this (to the nearest euro)?
15 413 euro
400
Yeonjun earns $8.21 an hour and works 41 hours a week. Estimate his weekly wage.
$320
400
Simplify the following so that there are no negative powers
((64x^-3)/(27y^6))^(-3/2)
9/16xx(x^2y^4)
400
Simplify
(4sqrt(80))+(3sqrt(45))
24sqrt(5)
500
Carol increases a number by 30% then decreases it by 30%. By what percentage has the number changed?
9% decrease
500
It takes Calvin, Oscar and Yuqi 5 hours to dig a hole. How long wold it take Calvin, Yuqi, Oscar and Ewan to dig the same hole if digging at the same rate?
3 hours 45 minutes or 3.75 hours
500
A field is measured to be 34m long and 28m wide, to the nearest metre. Calculate the maximum value for the area of the field.
983.25m2
500
Express n in terms of x and y given
(2^(1/2))^n=((2^x)/(2^(3y)))
n = 2x - 6y or n = 2(x - 3y)
500
Simplify
(4sqrt(3)+5sqrt(5))/(2sqrt(3)-sqrt(5))
7+2sqrt(15)
600
Rita's savings increased by 4.5%. Her savings are now $125.40. What were her savings before the increase?
$120
600
a is directly proportional to the square root of c and w is inversely proportional to the cube of a. If a=35 when c=49 and w=16 when a=2, find w when c=4
0.128 or
128/1000
600
Given d = 12.4 to 3 sig figs and g = 9.8 to 2 sig figs
find the minimum value of t (to 2 decimal places if
t=sqrt((2d)/g)
1.58
600
Find x given
((27^(2/3))/(9^(3/2)))=81^x
-1/4 or -0.25
600
Express the area of card remaining as a fraction of the large rectangle
5/6