Daily Practice · Higher

Daily Practice - Higher

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

19th February 2025

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

1
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Simultaneous Equations3 marks
3 teas and 3 cakes cost £12.00. 3 teas and 5 cakes cost £16.00. Find the price of a tea.
3
Speed and Density2 marks
A block has volume 185 cm^3 and density 2.5 g/cm^3. Work out its mass.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 15 cm and an angle of 61°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
4 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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