Daily Practice

Higher

3rd January 1975

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 27. Work out y when x = 14.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 6 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
15 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
5
Reverse Percentages3 marks
A bill is £672 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 January 1975, including the monthly compilation PDF.