Curved Horizons

Placement check

For your child to take. About 15 minutes. No time limit.

For the student. This shows which version of the physics to open for you, so the program starts in the right place. It is not graded and nobody passes or fails.

Pick one answer for each question. The questions get harder as you go, and the last ones are meant to be past what most students have been taught. If you have not learned something yet, choose Not learned yet. That is a good answer, and much better than a guess.

For the parent. Please stay nearby but do not help: no calculator, no notes, no internet and no AI. A helped answer places your child at the wrong level. Nothing typed here is sent anywhere, and we never ask for your child's name.

Part A

1
Work out 34 + 25
2
What is 15% of 60?
3
Work out −7 + 12 − 4

Part B

4
Solve for x: 3x + 5 = 20
5
Solve for x: 2(x − 3) = 14
6
Solve for x: 5x − 4 = 2x + 11
7
A formula says d = v × t. If v = 20 and t = 6, what is d?

Part C: harder

8
Rearrange d = v × t so that t is on its own.
9
Solve x2 = 49.
10
Work out (3 × 105) × (2 × 103)

Part D: only if you have studied calculus

Everyone else should leave these two blank and go straight to the button. Leaving them blank costs nothing. Type a number only.

11
A car's position, in meters, after t seconds is s = 5t2. How fast is it going at t = 3 seconds?
meters per second
12
An object's speed, in meters per second, after t seconds is v = 6t2. How far does it travel between t = 0 and t = 2 seconds?
meters

Placement

The level is not a ceiling. A student who asks for it simpler, or for the full equations, gets them, and the level can be changed at any time.