Higher Objective Testing : Quiz 1

The gradient of a line perpendicular to the line with equation
3x - 2y = 5 is
1. -3/2
2. -2/3
3. 3/2
4. 2/3
The equation of the line through the point (-2, 3) parallel to to the line
with equation y = 4x - 5 is
1. y = 4x + 11
2. y = 4x - 10
3. y = 4x + 5
4. y = -1/ 4x + 11
A is the point ( -2 , 2) , B is the point ( 2 , 3 ) and C is the point ( 1 , -1)

Find the equation of the altitude from C.
1. y = -4x + 3
2. y = -1/4x + 3/2
3. y = 4x -5
4. y = -5/2x + 11
The inverse of the function

f(x) = 3 + 5x , x is real, is :-
1. (x + 3)/5
2. (x - 3)/5
3. 1/(3 + 5x)
4. Not defined
Given f(x)=4x and g(x) = 3x + 1,
find a formula for h where h = g(f(x))
1. h = 12x + 1
2. h = 12x + 4
3. h = 7x + 1
4. h = 12x² + 1
Given A( -3 , 2) and B( 5 , -2),

find the co-ordinates of the midpoint of the line AB
1. (1, 0)
2. (2, 0)
3. (4, 0)
4. (1, 2)
What are the co-ordinates of the turning point of the equation

y = ( x - 3)² + 5 ?
1. ( 3, 5 )
2. (-3, 5 )
3. ( 3, -5 )
4. ( -3, - 5 )
Convert 315° to radians
1. 7π/4
2. 4π/7
3. 5π/4
4. 6π/5
Convert 7π/9 radians to degrees.
1. 140°
2. 120°
3. 110°
4. 305°
Evaluate cos (2π/3)
1. 1/2
2. -1/2
3. √3/2
4. -√3/2
Find the derivative of (2x+3)(3x -1)
1. 12x + 7
2. 6x² + 7x - 3
3. 6x² + 11x - 3
4. 12x + 11
Find the rate of change of
4x⁵ - 3x² + 2 at x = 2
1. 308
2. 332
3. 118
4. 114
What is the limit of the recurrence relation
U_n+1 = 0.4U_n + 45 ?
1. 75
2. There is no limit
3. 27
4. 78
What is the remainder when
27x³ - 36x² - 18x - 10 is divided by
3x + 1 ?
1. -19
2. -9
3. -7
4. -1
The equation px³ + 2x² -px + 4 = 0
has a factor x - 2 when p has the value
1. -3
2. -2
3. 2
4. - 2/3
Find ∫ 6x⁴ dx
1. 6x⁵/5 + C
2. 6x⁵/5
3. 24x³ + C
4. 24x³
The centre of the circle with equation
x² + y² + 2x - 4y + 5 = 0 is
1. ( -2 , 4)
2. ( -1 , 2)
3. ( 1 , -2)
4. ( 1 , 4)
The radius of the circle with equation
x² + y² + 2x - 4y + 4 = 0 is
1. 3
2. 10
3. 9
4. 1
A and B are acute angles with SinA = 3/5 and CosB= 12/13
Find the exact value of Sin(A + B)
1. 56/65
2. 32/65
3. 59/60
4. 56/60
Find the equation of the tangent to the curve y = x² + 3x + 5 at the point x = 1
1. y = 5x + 4
2. y = 5x - 14
3. y = 2x + 3
4. y = 5x - 14

Higher Objective Testing : Quiz 1

Units 1 & 2 only