Trigonometry
Find sin(45∘)correct to 2 decimal places
0.71
A bag has 5 red, 3 blue, 2 green balls. Find probability of picking a blue ball
3/10
Solve: 3x−7=11
x = 6
Area of a triangle with base 10 and height 6
30 units2
Find the midpoint of (4,2) and (8,6)
(6,4)
In a right triangle, adjacent = 8 and hypotenuse = 10. Find the angle θ (nearest degree)
37°
A card is picked. Probability it is a face card (J, Q, K)
12/52 = 3/13
Solve: 2x+5=3x−4
x = 9
Find the circumference of a circle radius 5 (π ≈ 3.14)
31.4
Find the slope between (2,3) and (6,11)
2
Find the length of the opposite side if θ = 35° and hypotenuse = 12cm
6.9cm
A student guesses randomly on a 4-option question. Probability of getting it wrong twice in a row
9/16
Expand and simplify: (x+4)(x−3)
x2+x−12
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Find the distance between (1,2) and (5,10)
√80 ≈ 8.94
A tree casts a shadow 11 m long. The angle of elevation of the sun is 50°. Find the height of the tree
13.1 m
A bag has 5 red, 3 blue, 2 green balls. Probability of picking two reds in a row (without replacement) from 4 red and 3 blue balls
2/7
Solve: x2−5x+6=0
x = 2, x = 3
A rectangular box is 10 × 6 × 4. Find its total surface area
248
Find equation of line through (1,2) with slope 3
y=3x−1
A kite is flying on a string 30 m long. The angle of elevation is 52°.
Find the height of the kite above the ground
23.6 m
The probability of Troy Parrott scoring a penalty is 5/7. What is the probability that the first time he misses is his third shot?
100/343
Make x the subject: y=3x+7
x=(y−7)/3
Volume of a cylinder radius 4, height 10 (π ≈ 3.14)
502.4 units3
Find the slope of a line perpendicular to y=−2x+3
1/2