12t – 10 = 14t + 2. Find t
-6
How many roots does the equation
y = (x-3)(x2-1)(x+2)
have?
4
The rate of change of velocity is referred to as
Acceleration
Name a 2-D polygon with 8 sides.
Octagon
A box contains 1 blue marble, 3 green marbles, and 6 red marbles. What is the probability of picking a green marble at random from the box?
3/10
Write an inequality corresponding to the statement: “The price is greater than $12.00 but less than $20.00”
12<x<20
The coordinates for the centre of the circle
are
(, -4)
A body, initially travelling at 75 m/s, reaches a final speed of 40 m/s after 5 seconds. What was its acceleration?
-7 m/s2
Find the cross-sectional area of a cube with side 19 units long.
361
In a sample of 1000 people, 700 people liked football and 500 persons liked cricket. What percentage of people liked both football and cricket?
20%
Factorize the quadratic equation:
x2 + 4x + 4 = 0
(x+2)(x+2) or (x+2)2
What are the solutions to the equation
x2 + 3x - 10 = 0?
x = -5, 2
A body stays at rest for 10 seconds then travels 150 metres in 15 seconds. What is its average velocity?
6 m/s
The slope of the line Ax + By + C = 0 is
m = -A/B
Elizabeth has two children. Given that her first child was a boy, what is the probability that the other child is also a boy?
1/3
For what value of the constant b does the linear equation 2x + by = 2 have a slope equal to 6?
b=-1/3
Find and simplify
when
2x + h +5
A body with initial velocity of 10 m/s accelerates with constant acceleration for 5 seconds to reach a velocity of 50 m/s. What will its velocity be after another 14 seconds?
162 m/s
The distance between the points P(-7,2) and Q(5,-3) is
13
Two fair dice are rolled. What is the probability that the sum of the numbers on both dice is 4?
3/36 or 1/12
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
15 Minutes
What is the value of the differential of y=sec(x) when x = 45 degrees
y’ = √2
A body has an initial velocity of 20 m/s, it accelerates at 8 m/s2 for 12 seconds, increases it to 10 m/s2 for 5 seconds then decelerates at -6 m/s2 for 20 seconds.
What is its final velocity?
46 m/s
A cube is a regular polyhedron with square faces. What is the name of the regular polyhedron with pentagon faces?
Dodecahedron
There are 16 players in a football club. The coach has to select 11 of these players in order to form a team for an upcoming match. How many possible ways are there for him to pick the team?
4368