Daily Practice · Higher Plus

Daily Practice - Higher Plus

11th August 1995

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 two angles at the circumference stand on the same arc. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 2) with x(0) = 3. Work out x(1) to 3 decimal places.

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 August 1995, including the monthly compilation PDF.