Daily Practice

Higher

31st March 1958

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6464... as a fraction in its simplest form.
2
Simultaneous Equations3 marks
5 teas and 1 cake cost £13.65. 3 teas and 3 cakes cost £12.75. Find the price of a tea.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 54°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
1 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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