Daily Practice

Higher

30th December 1961

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 = 32. Work out y when x = 9.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 16 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
27 students study Spanish and 12 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 13, lower quartile 22, median 30, upper quartile 39 and maximum 48. Work out the interquartile range.
5
Reverse Percentages3 marks
A bill is £912 including VAT at 20%. Work out the amount before VAT.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1961, including the monthly compilation PDF.