Daily Practice

Higher Plus

21st May 1987

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 8x - 2. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 98.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 3b and vector RS = 15a + 15b. What does this show about PQ and RS?

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 May 1987, including the monthly compilation PDF.