Daily Practice · Higher

Daily Practice - Higher

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

17th October 2025

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

1
Fractional and Negative Indices2 marks
Write 9^-2 as a fraction.
2
Simultaneous Equations3 marks
2 teas and 1 cake cost £6.65. 1 tea and 5 cakes cost £15.25. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 33. Work out y when x = 7.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 12 cm and an angle of 66°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
1 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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