Daily Practice

Higher

20th March 1968

5 questions · 14 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 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Quadratic Formula3 marks
Work out the discriminant of 4x^2 + 8x + 5 = 0 and say how many real solutions it has.
3
Speed and Density2 marks
A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 26 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
16 students study Spanish and 11 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 March 1968, including the monthly compilation PDF.