Daily Practice · Higher

Daily Practice - Higher

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

29th January 2026

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

1
Repeated Percentage Change3 marks
A town's population is 20000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
2
Vectors3 marks
a is the column vector (-3, 6) and b is (-1, -2). Work out 4a - 5b as a column vector.
3
Probability Trees3 marks
1 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Histograms2 marks
A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
5
Bounds2 marks
A mass is 19.8 kg, correct to 1 decimal place. Write down the lower bound.

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