Daily Practice

Higher Plus

5th March 1968

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

1
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.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
5
Algebraic Fractions3 marks
Write 7/(x + 5) + 3/(x + 2) as a single fraction.

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.

Any date always gives the same five questions, so a sheet can be set again or shared. All of March 1968, including the monthly compilation PDF.