Daily Practice · Higher

Daily Practice - Higher

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

15th December 2023

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

1
The Product Rule for Counting2 marks
A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
2
Simultaneous Equations3 marks
2 teas and 3 cakes cost £12.50. 1 tea and 2 cakes cost £7.55. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 30. Work out y when x = 10.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 18 cm and an angle of 47°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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