Daily Homeroom Activities

Grid:
KS4 · GCSE

Volume and surface area

Find the volume \(of a sphere with radius 3 cm. (\pi = 3.14)\)
KS4 · GCSE

Pythagoras

Find \(the length of the diagonal of a rectangle 9 cm \times 12 cm.\)
KS5 · A-Level

Logarithms

Solve \(\log_3(2x+1) = 4\).
KS3 · Y7–9

Factors and multiples

Write 60 as a product of its prime factors.
KS4 · GCSE

Compound measures

Pressure \(=\)Force \(\div\)Area. Force \(=\)200 N, Area \(=\)0.5 \(m^2\).Find pressure.
KS5 · A-Level

Binomial Expansion

Find the first three terms of \((1 + 3x)^5\) in ascending powers of x.
KS4 · GCSE

Solving quadratics

Solve: \(x^2 + 5x + 6 = 0\)
KS3 · Y7–9

Fractions

\(\frac{5}{6} - \frac{1}{4}\)
KS3 · Y7–9

Substitution

If p \(= -1\)and q \(=\)4, find 3p \(+ q^2\).
KS4 · GCSE

Completing the square

\(x^2 + 10x - 3\)
KS3 · Y7–9

Keyword

What is a factor?
KS4 · GCSE

Circle theorems

A tangent and a radius meet at a point on a circle. What angle do they form?