Daily Practice · Higher

Daily Practice - Higher

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

4th December 2025

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

1
Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
4 teas and 4 cakes cost £15.60. 4 teas and 5 cakes cost £17.75. Find the price of a tea.
3
Repeated Percentage Change3 marks
A town's population is 20000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 14 cm and an angle of 56°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
2 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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