Daily Practice · Higher

Daily Practice - Higher

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

21st August 2026

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

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 8, y = 96. Work out y when x = 2.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 4 cm and 8 cm with an angle of 100° between them. Work out its area, to 1 decimal place.
3
Probability Trees3 marks
2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
5
Fractional and Negative Indices2 marks
Write 5^-1 as a fraction.

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