Daily Practice · Higher

Daily Practice - Higher

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

11th April 2026

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 23 cm and an angle of 20°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
2 of 7 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 minimum 13, lower quartile 22, median 28, upper quartile 32 and maximum 42. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 5^-2 as a fraction.

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