BODMAS
3 + 4 x 2=
11
5cm
A fair six-sided die is rolled twice. What is the probability of rolling a six both times?
1/36
Solve for m:
5m x 6 - 40 = 2m + 16
m = 2
24 + 32 + 4 + 10
30
There were some people on a train. 19 people get off the train at the first stop. 17 people get on the train. Now there are 63 people on the train.
How many people were on the train to begin with?
65 people
12 divided by 4 times 3
9
What is the exact value of cos(pi) + sin(pi/2)?
0
A fair six-sided die is rolled twice. What is the theoretical probability that the sum of the two rolls is a prime number?
5/12
Simplify:
6w + 4y - 2w + 3y - 5
4w + 7y - 5
Factor the binomial completely: x2 - 25
(x - 5)(x + 5)
Currently, a grandmother is 9 times older than her granddaughter. In 3 years, she will be 7 times older. How old are they now?
The granddaughter is 9, and the grandmother is 81.
23 + 5 x 2
18
If sinθ = -3/5 and θ lies in Quadrant III, what is the exact value of cosθ?
-4/5
An urn contains 5 red marbles, 4 blue marbles, and 3 green marbles. Two marbles are drawn sequentially without replacement. What is the probability that the second marble drawn is blue?
1/3
Simplify (p2)3 x p4
p10
In a right-angled triangle ABC: angle B is 90o, the hypotenuse AC is 8cm and side AB is 3cm. Solve for angle A.
A = 67.98o
Using only addition, add eight 8s to get the number 1,000
888 + 88 + 8 + 8 + 8 = 1,000
2 x [5 + 6/2]2
128
In a right-angled triangle ABC, if angle B = 90o and angle A = 35o and side AB is 12cm, what is the length of the hypotenuse AC? (1dp)
14.6cm
Player A has a 70% probability of winning a chess match against a computer, and Player B has a 40% probability of winning their independent match against the same computer. What is the probability that at least one of the players wins their match against the computer?
0.82
Factorise m2 + 7m + 12
(m+4)(m+3)
In an isosceles triangle ABC: side AC = 14cm and side AB = BC = 30cm. Work out the angle at B to the nearest degree.
B = 27o
If 200 is added to a positive integer I, the result is a square number. If 276 is added to to the same integer I, another square number is obtained. Find I.
I = 124
50 + [5 x (3 + 2) - 23]
67
Simplify (sinθ/cosecθ) + (cosθ/secθ) completely.
1
A committee of 4 people is chosen randomly from a group of 6 men and 4 women. What is the probability that the committee consists of exactly 2 men and 2 women? Hint: combinatorics
3/7
Rewrite 2x2 + 12x + 7 by completing the square
2(x + 3)2 - 11
There are 18 girls and 12 boys in a class. 2/9 of the girls and 1/4 of the boys walk to school. One of the students who walks to school is chosen at random. Find the probability that the student is a boy.
3/7
Box A contains 3 red and 2 white marbles; Box B contains 2 red and 5 white marbles. A fair coin is flipped; if heads, a marble is drawn from Box A, and if tails, from Box B. Given that the drawn marble is red, what is the probability it came from Box A?
21/31