Daily Practice

Higher Plus

22nd January 1980

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
3
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 3 in terms of an integer n?
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 58 m/s over 20 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.

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