Daily Practice · Higher

Daily Practice - Higher

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

29th March 2023

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 61°, angle B is 51° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 5 in B only, 8 in both and 7 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 3, 11, 7, 10. Write down the cumulative frequency at the end of the third class.
4
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?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 2x - 35.

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