Daily Practice

Higher

19th November 1973

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Surds2 marks
Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
5 teas and 4 cakes cost £18.15. 1 tea and 3 cakes cost £8.80. Find the price of a tea.
3
Repeated Percentage Change3 marks
A price rises by 25% 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 13 cm and an angle of 56°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
3 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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