Daily Practice · Higher

Daily Practice - Higher

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

18th October 2025

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

1
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -x - 7 that passes through (5, -2).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 8.
3
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
4
Probability Trees3 marks
A bag holds 10 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Box Plots2 marks
A box plot has minimum 2, lower quartile 8, median 13, upper quartile 15 and maximum 25. Work out the interquartile range.

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