Daily Practice

Higher

3rd October 1987

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 8.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 17 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
12 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Box Plots2 marks
A box plot has minimum 10, lower quartile 16, median 24, upper quartile 26 and maximum 36. Work out the interquartile range.
5
The Product Rule for Counting2 marks
A meal deal has 7 mains, 8 sides and 4 drinks. How many different meals are possible?

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