Daily Practice · Higher

Daily Practice - Higher

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

30th August 2025

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

1
Reverse Percentages3 marks
A bill is £672 including VAT at 20%. Work out the amount before VAT.
2
Simultaneous Equations3 marks
2 teas and 1 cake cost £7.80. 3 teas and 3 cakes cost £16.35. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 7.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 21 cm and an angle of 67°. 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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