Daily Practice · Higher

Daily Practice - Higher

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

6th October 2021

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
1 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 3, 4, 11. Write down the cumulative frequency at the end of the third class.
3
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?
4
Simultaneous Equations3 marks
2 teas and 4 cakes cost £8.90. 4 teas and 5 cakes cost £12.70. Find the price of a tea.
5
Speed and Density2 marks
A block has volume 15 cm^3 and density 3 g/cm^3. Work out its mass.

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