Daily Practice

Higher

29th October 1977

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.222... as a fraction in its simplest form.
2
Simultaneous Equations3 marks
2 teas and 4 cakes cost £10.50. 3 teas and 4 cakes cost £12.05. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 3.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 20 cm and an angle of 63°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
4 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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