Daily Practice · Higher

Daily Practice - Higher

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

22nd February 2026

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

1
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 5.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 38°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has a minimum of 5 and a maximum of 49. Work out the range.
5
Reverse Percentages3 marks
A bill is £480 including VAT at 20%. Work out the amount before VAT.

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