Daily Practice · Higher

Daily Practice - Higher

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

5th May 2025

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 30°, angle B is 34° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 6 in B only, 7 in both and 7 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Fractional and Negative Indices2 marks
Write 6^-3 as a fraction.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 3x - 4.

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