Daily Practice

Higher

15th June 1988

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

1
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 + x - 5 = 0, to 2 decimal places.
3
Speed and Density2 marks
A block has volume 135 cm^3 and density 3 g/cm^3. Work out its mass.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 8 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
19 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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