Daily Practice

Higher

19th April 1967

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

1
Reverse Percentages3 marks
A bill is £312 including VAT at 20%. Work out the amount before VAT.
2
Quadratic Formula3 marks
Work out the discriminant of 3x^2 + x + 6 = 0 and say how many real solutions it has.
3
Speed and Density2 marks
A block has volume 105 cm^3 and density 8 g/cm^3. Work out its mass.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 29 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
22 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of April 1967, including the monthly compilation PDF.