Observe symmetries and engage the power of substitution to solve complicated equations.
An arithmetic progression is shifted and shortened, but its sum remains the same...
Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.
Which of these logarithmic challenges can you solve?
Do you have enough information to work out the area of the shaded quadrilateral?
Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?
See how the motion of the simple pendulum is not-so-simple after all.
This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.
The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?
Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
