Daily Practice

Higher

14th June 1970

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

1
Surds2 marks
Write sqrt(12) 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 + 10x + 7 = 0, to 2 decimal places.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 6, y = 20. Work out y when x = 10.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 30 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
27 students study Spanish and 10 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 June 1970, including the monthly compilation PDF.