Daily Practice · Higher

Daily Practice - Higher

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

31st March 2022

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

1
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Simultaneous Equations3 marks
5 teas and 1 cake cost £8.95. 1 tea and 5 cakes cost £17.15. Find the price of a tea.
3
Repeated Percentage Change3 marks
A town's population is 20000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 22 cm and an angle of 57°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
2 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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