Daily Practice

Higher Plus

13th January 1959

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

1
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x - 15.
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
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 105 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 January 1959, including the monthly compilation PDF.