Daily Practice · Higher

Daily Practice - Higher

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

18th September 2026

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

1
Standard Form2 marks
Work out (2 x 10^3) x (6 x 10^2). Give your answer in standard form.
2
Simultaneous Equations3 marks
2 teas and 4 cakes cost £11.80. 4 teas and 3 cakes cost £14.10. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 66. Work out y when x = 9.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 16 cm and an angle of 34°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
5 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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