Daily Practice

Higher

1st May 1975

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

1
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
2 teas and 2 cakes cost £8.10. 1 tea and 4 cakes cost £11.70. Find the price of a tea.
3
Repeated Percentage Change3 marks
A town's population is 7500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 60°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
1 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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