Daily Practice · Higher

Daily Practice - Higher

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

20th September 2021

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

1
Standard Form3 marks
Work out (10 x 10^9) / (2 x 10^5). Give your answer in standard form.
2
Simultaneous Equations3 marks
5 teas and 3 cakes cost £16.60. 1 tea and 2 cakes cost £5.70. Find the price of a tea.
3
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 24°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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