Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

5th February 2006

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

1
Bounds3 marks
x = 159 and y = 26, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 6, 9, 14, 21, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. 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.

Every sheet is deterministic: the same date always regenerates the same five questions. All of February 2006, including the monthly compilation PDF.