Indices
Quadratic Equations
Linear Inequality
Percentage, Rate & Speed
Algebra 1
100

3x5 x x-7

3x-2

100

Express x2-6x+4 in the form (x-a)2-b

(x-3)2-5

100
Solve the inequality 3-3x>10

x < -2(1/3)

100

A car is travelling at 72km/h. 

Find its speed in m/s. 

20m/s
100

Simplify -3(2x-3)+8x

2x+9

200

((2x-1)-2)-3

64x-6

200

If x2 + qx + 36 is a perfect square, find the value of q.

 12 or -12 

200

Find the largest prime number p for which 2p+1 <19

7
200

Melvin leaves home at 8.50am and travels to work at an average speed of 42km/h. He arrives at work at 9.10am. How far is it from Melvin's home to his work?

14km

200

Factorise 4x2-49

(2x-7)(2x+7)

300

(8x3y5)0 / (4x6)-1

4x6

300

Factorise 6x2+17x-14

(3x-2)(2x+7)

300

If x is an integer such as 1000<5x3<1250, find x. 

6

300

Bala and Ibrahim cycle from Marina Bay Sands to East Coast Park. Bala's average speed is 8% faster than Ibrahim's. If Bala's average speed is 17.82km/h, calculate Ibrahim's average speed. 

16.5km/h

300

Factorise 2x2-50

2(x+5)(x-5) 

400

If 2x=3 and 2y=5, find the value of 23x+y

135


400

(5x-3)(4x-1)=13

x=-2/5 or x =5/4

400

Kelvin scored 68, 76 and 70 marks for three of his tests. What is the lowest mark he can score for his fourth test if he wants to obtain an average of at least 75 marks for the 4 tests? 

86

400

A car travels for 90km at 60km/h. It then travels for 46km at 40km/h. Calculate the average speed for the whole journey. 

51.3km/h

400

Make b the subject of the formula ax+by=c

b = (c-ax)/y

500

Solve the equation 25x x 32x = 15

1/2


500

Find the number which increased by its reciprocal is equal to 13/6.

2/3 or 3/2

500
A fruit seller bought 3 crates of cherries. The mean number of cherries in the 3 crates was at least 150 but less than 180. If there were 168 cherries and 177 cherries in the first 2 crates respectively, find the maximum number of cherries in the third crate. 

194

500

The distance from Woodlands Station to Kuala Lumpur is 325km.The average speed of the train is 48.75km/h. The proposed new high speed rail link would cut the journey time from 20/3 hours to 3/2 hours. 

Calculate the increase in the average speed of the journey by high-speed rail as a percentage of the average speed by train. 

344%

500

A 40cm length of ribbon costs $x. Find an expression for the cost, in dollars, of y metres of ribbon. 

Give your answer in its simplest form.

$2.5xy

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