Daily Practice · Higher

Daily Practice - Higher

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

9th October 2022

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

1
Reverse Percentages3 marks
A bill is £648 including VAT at 20%. Work out the amount before VAT.
2
Simultaneous Equations3 marks
4 teas and 3 cakes cost £12.10. 4 teas and 2 cakes cost £10.40. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 8, y = 20. Work out y when x = 5.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 16 cm and an angle of 52°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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