Daily Practice

Higher Plus

13th January 1957

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 16.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 15 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
5
Bounds3 marks
x = 49 and y = 33, each correct to the nearest whole number. Work out the upper bound of x - y.

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 January 1957, including the monthly compilation PDF.