Algebra
Pre-Calculus
Kinematics
Analytical
Geometry
Geometry
Probability
100
5(z + 1) = 3(z + 2) + 11
Solve for Z.
6
100
How many roots does the equation
y = (x2-4)(x+3) have?
3
100
How much distance will a body travelling with constant velocity 60 km/h cover in 45 minutes?
45 km
100
Determine the gradient of the line perpendicular to y = 2x + 5
m = -1/2
100
A bag contains 5 apples, 10 oranges and 16 grapes. If a fruit is chosen at random from the bag, what is the probability that it is an apple?
5/31
200
Write an inequality corresponding to the statement: “The price is less than 15 but greater than 11”
11<x<15
200
Differentiating cos(2x) twice gives
-4cos(2x)
200
A man runs 45 metres in 5 seconds, turns around and runs the same distance in 5 seconds. His average velocity is
0 m/s
200
The y-intercept of the line Ax + By + C = 0 is
c = -C/B
200
In a club, there are 2 students from Form 1, 3 students from Form 2, 7 students from Form 3, 5 students from Form 4, 10 students from Form 5 and 20 students from Form 6.
If a student is picked at random what is the probability that the student is from Form 5?
10/47
300
Find 2 numbers that sum to 9 and the sum of the squares is 41
4 and 5
300
1 + cot2(x) is equivalent to?
cosec2(x)
300
The area under a velocity-time graph for a moving body gives
Its displacement
300
Give the number of faces a regular dodecahedron has
12
300
In a bag, there are 6 yellow dice, 2 purple dice, and 5 orange dice. Two dice are drawn consecutively. Given that the first dice drawn is purple, what is the probability that the other dice drawn is yellow?
6/12 or 1/2
400
For what value of the constant b does the linear equation 2x + by = 2 have a slope equal to 8?
b=-1/4
400
Find and simplify
when
4x+2h-5
400
A body with initial velocity 60 m/s travels with constant acceleration 5 m/s2 over 8 seconds. How much distance does it travel in these 8 seconds?
640 m
400
Find the cross-sectional area of the sphere (in terms of
9
400
In a deck of 52 playing cards, 3 cards are chosen at random. Given that the first card is a red card, and the second card is the queen of diamonds, what is the probability that the last card is a black face card (Jack, Queen, King)?
6/50 or 3/25
500
Ann and Kate have 80 dollars together. If Kate buys ice-cream for 5 dollars, then Kate will have double Ann’s money. How much money does Ann have?
$25
500
What type of stationary points does the curve
y = 2x3 − 3x2 − 12x + 4
have?
1 maximum, 1 minimum
500
A body with initial velocity 10 m/s accelerates at a constant rate of 8 m/s2 over a distance of 50 m. What is its final velocity?
30 m/s
500
This is a decagon, a 10-sided polygon.
Determine the sum of its interior angles
1440 degrees
500
Three fair dice are rolled. Given that the first dice rolled a 1, what is the probability that the sum of the numbers on all of the dice is even?
39/216 or 13/72