Daily Practice

Higher Plus

3rd March 1961

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

1
Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
2
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 12 wins. How many games did they play?

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