Daily Practice

Higher

1st February 1968

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

1
Fractional and Negative Indices3 marks
Work out 81^(3/2).
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 - 12x - 7 = 0, to 2 decimal places.
3
Repeated Percentage Change3 marks
A town's population is 21500 and grows by 8% 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 : 2. The smaller has an area of 29 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
18 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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