Daily Practice · Higher

Daily Practice - Higher

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

5th August 2022

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

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 9.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 99. Work out y when x = 11.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 5 in B only, 11 in both and 8 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.

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 2022, including the monthly compilation PDF.