Daily Practice · Higher

Daily Practice - Higher

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

10th September 2023

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 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Simultaneous Equations3 marks
4 teas and 3 cakes cost £12.85. 2 teas and 2 cakes cost £7.40. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 6.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 22 cm and an angle of 65°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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