Daily Practice · Higher

Daily Practice - Higher

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

1st January 2003

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 63°, angle B is 49° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 3 in B only, 4 in both and 8 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 12, 10, 3. Write down the cumulative frequency at the end of the third class.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 13x + 42.

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