Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th April 2000

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

1
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
2
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of c and q.
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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