Daily Practice

Higher

25th July 1985

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 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 + 5x - 7 = 0, to 2 decimal places.
3
Repeated Percentage Change3 marks
A town's population is 35000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 23 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
21 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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