Daily Practice

Higher

30th August 1969

5 questions · 15 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 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Quadratic Formula3 marks
Use the quadratic formula to solve 4x^2 - 10x - 4 = 0, to 2 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 9.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 21 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
12 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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