Daily Practice

Higher Plus

8th June 1954

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

1
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 15, 37, 67, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 21 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 June 1954, including the monthly compilation PDF.