Daily Practice

Higher

29th December 1984

5 questions · 14 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 = 4, y = 112. Work out y when x = 3.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 12 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
18 students study Spanish and 5 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 3, lower quartile 11, median 16, upper quartile 21 and maximum 26. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1984, including the monthly compilation PDF.