Daily Practice · Higher

Daily Practice - Higher

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

15th January 2026

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Quadratic Formula3 marks
Work out the discriminant of 4x^2 - x + 4 = 0 and say how many real solutions it has.
3
Repeated Percentage Change3 marks
A town's population is 34000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 3 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
10 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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