Daily Practice

Higher

11th November 1978

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Reverse Percentages3 marks
A bill is £528 including VAT at 20%. Work out the amount before VAT.
2
Quadratic Formula3 marks
Work out the discriminant of 4x^2 + 2x + 12 = 0 and say how many real solutions it has.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 7.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 9 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
22 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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