Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

24th February 2023

5 questions · 15 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 4 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 + 10x - 10 = 0, to 2 decimal places.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 63. Work out y when x = 2.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 7 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
21 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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