Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

1st January 2015

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

1
Reverse Percentages3 marks
A bill is £768 including VAT at 20%. Work out the amount before VAT.
2
Quadratic Formula3 marks
Work out the discriminant of 3x^2 - 7x + 11 = 0 and say how many real solutions it has.
3
Repeated Percentage Change3 marks
A town's population is 21000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 6 cm^2. Work out the area of the larger.
5
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.

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