Daily Practice

Higher Plus

6th July 1976

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
2
Transforming Graphs y=f(x)3 marks
The point (-1, -4) lies on y = f(x). Write down its image on y = f(x + 1).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 6 cm and an area of 20.78 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.

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 July 1976, including the monthly compilation PDF.