Algebra
Simplify: 3(x + 2) − 2x
x + 6
Differentiate: y = x³
3x²
What is sin(90°)?
1
Find the next term: 3, 7, 11, 15, …
19
What is Ms Cheng's first name?
Emily/Qiuyi
Factorise: x² − 5x + 6
(x − 2)(x − 3)
Differentiate: y = 4x² − 3x + 7
8x − 3
Solve sinθ = 0.5 for 0° ≤ θ ≤ 360°
θ = 30° or 150°
Find the 10th term of the arithmetic sequence a = 5, d = 3
32
How many students in our class passed the Trigonometry Internal?
26
Solve: 2x² + 3x − 5 = 0
x = 1 or x = −2.5
Find the gradient of y = x³ − 2x at x = 2
10
Triangle: a = 7, A = 40°, B = 60°. Find b using the sine rule.
b ≈ 9.43
Find the sum of the first 8 terms of the geometric sequence a = 2, r = 3
6560
What is Ms Leung's favourite cartoon character?
Chiikawa
Solve for x: log₂(x) + log₂(x − 2) = 3
x = 4 (reject x = −2)
Find the turning point of y = x² − 4x + 3
(2, −1)
Solve cos(2θ) = 0.5 for 180° ≤ θ ≤ 360°
θ = 210°, 330°
A geometric sequence has a = 4 and sum to infinity = 10. Find r.
0.6
Which house has the most students in our class?
Hanrahan
Solve simultaneously: y = x² and y = 2x + 3
x = 3 or x = −1
Differentiate: y = cos (2x2 + 1)
-4xsin(2x2 + 1)
Cosine rule: a = 8, b = 10, c = 13. Find angle C.
C ≈ 91.8°
A ball dropped from 10m bounces to 70% of the previous height each time. Find the total distance travelled if it bounces forever.
≈ 56.67 m
How many months have 28 days?
12