Daily Practice · Higher

Daily Practice - Higher

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

1st September 2022

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Conditional Probability3 marks
17 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
2
Histograms2 marks
A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
3
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Quadratic Formula3 marks
Work out the discriminant of 2x^2 + 3x + 11 = 0 and say how many real solutions it has.
5
Repeated Percentage Change3 marks
A town's population is 13500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.

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