Daily Practice

Higher

5th January 1957

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 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Inequalities on Graphs3 marks
Does the point (2, -4) satisfy y > 2x - 3?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 2.
4
Congruent Triangles2 marks
Two triangles are known to be congruent because both have a right angle, the same hypotenuse length and one equal leg. Which congruence condition is this?
5
Conditional Probability3 marks
27 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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