Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd January 2024

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

1
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 18 wins. How many games did they play?

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