Higher Objective Testing : Quiz 1
Units 1 & 2 only
Pick the correct answer for each question
The gradient of a line perpendicular to the line with equation
3x - 2y = 5 is
- -3/2
- -2/3
- 3/2
- 2/3
The equation of the line through the point (-2, 3) parallel to to the line
with equation y = 4x - 5 is
- y = 4x + 11
- y = 4x - 10
- y = 4x + 5
- 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.
- y = -4x + 3
- y = -1/4x + 3/2
- y = 4x -5
- y = -5/2x + 11
The inverse of the function
f(x) = 3 + 5x , x is real, is :-
- (x + 3)/5
- (x - 3)/5
- 1/(3 + 5x)
- Not defined
Given f(x)=4x and g(x) = 3x + 1,
find a formula for h where h = g(f(x))
- h = 12x + 1
- h = 12x + 4
- h = 7x + 1
- h = 12x2 + 1
Given A( -3 , 2) and B( 5 , -2),
find the co-ordinates of the midpoint of the line AB
- (1, 0)
- (2, 0)
- (4, 0)
- (1, 2)
What are the co-ordinates of the turning point of the equation
y = ( x - 3)2 + 5 ?
- ( 3, 5 )
- (-3, 5 )
- ( 3, -5 )
- ( -3, - 5 )
Convert 315° to radians
- 7π/4
- 4π/7
- 5π/4
- 6π/5
Convert 7π/9 radians to degrees.
- 140°
- 120°
- 110°
- 305°
Evaluate cos (2π/3)
- 1/2
- -1/2
- √3/2
- -√3/2
Find the derivative of (2x+3)(3x -1)
- 12x + 7
- 6x2 + 7x - 3
- 6x2 + 11x - 3
- 12x + 11
Find the rate of change of
4x5 - 3x2 + 2 at x = 2
- 308
- 332
- 118
- 114
What is the limit of the recurrence relation
Un+1 = 0.4Un + 45 ?
- 75
- There is no limit
- 27
- 78
What is the remainder when
27x3 - 36x2 - 18x - 10 is divided by
3x + 1 ?
- -19
- -9
- -7
- -1
The equation px3 + 2x2 -px + 4 = 0
has a factor x - 2 when p has the value
- -3
- -2
- 2
- - 2/3
Find ∫ 6x4 dx
- 6x5/5 + C
- 6x5/5
- 24x3 + C
- 24x3
The centre of the circle with equation
x2 + y2 + 2x - 4y + 5 = 0 is
- ( -2 , 4)
- ( -1 , 2)
- ( 1 , -2)
- ( 1 , 4)
The radius of the circle with equation
x2 + y2 + 2x - 4y + 4 = 0 is
- 3
- 10
- 9
- 1
A and B are acute angles with SinA = 3/5 and CosB= 12/13
Find the exact value of Sin(A + B)
- 56/65
- 32/65
- 59/60
- 56/60
Find the equation of the tangent to the curve y = x2 + 3x + 5 at the point x = 1
- y = 5x + 4
- y = 5x - 14
- y = 2x + 3
- y = 5x - 14