Daily Practice

Higher

20th November 1958

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

1
Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 - 2x - 6 = 0, to 2 decimal places.
3
Repeated Percentage Change3 marks
A town's population is 24000 and grows by 5% 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 21 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
23 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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