Daily Practice

Higher Plus

14th December 1958

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

1
Bounds3 marks
x = 36 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 5x + 2 and g(x) = 2x + 4. Work out fg(-3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 45 wins. How many games did they play?

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 December 1958, including the monthly compilation PDF.