Daily Practice · Higher

Daily Practice - Higher

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

1st August 2009

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 16.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 7.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 9 in B only, 9 in both and 1 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 4, lower quartile 12, median 19, upper quartile 23 and maximum 25. Work out the interquartile range.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of August 2009, including the monthly compilation PDF.