Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

25th July 2002

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 3x + 4 and g(x) = 4x + 8. Work out fg(-2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 8.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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 July 2002, including the monthly compilation PDF.