Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

21st January 2026

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Standard Form3 marks
Work out (36 x 10^12) / (4 x 10^3). Give your answer in standard form.
2
Simultaneous Equations3 marks
3 teas and 1 cake cost £7.75. 1 tea and 2 cakes cost £5.00. Find the price of a tea.
3
Speed and Density2 marks
A block has volume 135 cm^3 and density 11 g/cm^3. Work out its mass.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 10 cm and an angle of 43°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
4 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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