Daily Practice · Higher

Daily Practice - Higher

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

2nd August 2025

5 questions · 14 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 = 4, y = 80. Work out y when x = 6.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 18 cm with an angle of 149° between them. Work out its area, to 1 decimal place.
3
Probability Trees3 marks
1 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 6, lower quartile 8, median 10, upper quartile 14 and maximum 22. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5959... as a fraction in its simplest form.

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