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Indices and Standard Form
Algebra Manipulations
Quadratic Equations
Congruency and Similarity
Coordinate Geometry
100
a^7 x 2a^5 =
2a^12
100
Factorise 15a + 18ab.
3a(5 + 6b)
100
Given that x^2 + 2x - 5 = 0, what is the value of c?
-5
100
A plan is drawn with a scale of 1 : 50. 1 cm on the map represent ______ m of the actual distance?
0.5
100
Given that A (5, 3) and B (4, 1), find the gradient of the line AB.
2
200
8(50xy^2)^0 =?
8
200
Factorise x^2 - 9.
(x + 3)(x - 3)
200
Given that 5x^2 = 3x - 5, what is the value of b?
-3
200
2 cm on the map represent 150 m on the actual ground. What is the map scale?
1 : 7500
200
Given that A (-3, 2) and B (4, 3), find the length of AB.
7.07
300
Write 275000000 in standard form.
2.75 x 10^8
300
Given that y^2 = ax + b, make x the subject of the formula.
x = (y^2 - b)/a
300
Recall the general formula to solve quadratic equation.
x = [-b +/- sqrt(b^2 - 4ac)]/2a
300
Triangle ABC is enlarged to triangle XYZ with a scale factor of 3. Given that XY = 9 cm, what is the length of AB?
3 cm
300
Given that the equation of the line is 2y = 3x + 5, what is the y-intercept?
5/2
400
William invested $4000 in a bank that gives 2% simple interest per annum. What is the total amount in the bank after 5 years?
$4400
400
Simplify the following as a single fraction: 1/2a + 3/5a.
11/10a
400
Solve the equation: (x - 5)(2x + 3) = 0.
x = 5 or x = -3/2
400
Given that Triangle ABC and Triangle XYZ are congruent. The scale factor is __________.
1
400
Which of the two lines have the same gradient? A. y = 3x + 5 B. y + 3x = 4 C. 2y - 6x = 3 D. 3y = x + 2
A and C.
500
John invest $5000 in a bank which give 1.5% compound interest per annum. What is the amount in the bank after 3 years?
$5228.39
500
Simplify the following as a single fraction: 2/(x+1) - 3/(x-2).
(-x-7)/((x+1)(x-2))
500
Solve the equation: 3x^2 + 9x + 2 = 0.
x = -0.242 or x = -2.76
500
State two properties of similar triangles.
1. All corresponding angles are equal. 2. All corresponding sides are in the same ratio (proportional).
500
Given that A (4, 1) and B (-1, 11), what is the equation of the line passes through AB?
y = 2x - 7