Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
24th October 2018
- 1The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2Quadratic Formula3 marks
Work out the discriminant of 2x^2 + x + 8 = 0 and say how many real solutions it has.
- 3Speed and Density2 marks
A block has volume 90 cm^3 and density 8 g/cm^3. Work out its mass.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 12 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
20 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.
Recent Higher sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of October 2018, including the monthly compilation PDF.