Daily Practice

Higher

19th October 1987

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

1
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
2
Quadratic Formula3 marks
Use the quadratic formula to solve 4x^2 + 10x - 3 = 0, to 2 decimal places.
3
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 7 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
21 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of October 1987, including the monthly compilation PDF.