Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th October 2015

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

1
Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 2/(x + 6) + 3/(x - 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. N is the midpoint. Write vector ON in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 54 wins. How many games did they play?

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