Daily Practice · Higher

Daily Practice - Higher

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

14th June 2026

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 25^(3/2).
2
Simultaneous Equations3 marks
2 teas and 3 cakes cost £13.70. 1 tea and 2 cakes cost £8.55. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 60. Work out y when x = 12.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 62°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
1 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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