Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th December 1997

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 5 wins. How many games did they play?

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