Daily Practice · Higher Plus
November 1978 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1978 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1978y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.
- 2nd November 1978The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 3rd November 1978A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
- 4th November 1978A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
- 5th November 1978x = 57 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
- 6th November 1978In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 7th November 1978y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 81.
- 8th November 1978In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
- 9th November 1978The probability of winning a game is 2/5. A player expects 36 wins. How many games did they play?
- 10th November 1978On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 11th November 1978A car covers 590 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 12th November 1978Make x the subject of 5x + 2 = y(x + 2).
- 13th November 1978A train slows steadily from 15 m/s to rest in 8 seconds. Work out its deceleration.
- 14th November 1978In a vector proof you find that vector PQ = 4a - 2b and vector RS = 16a - 8b. What does this show about PQ and RS?
- 15th November 1978A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
- 16th November 1978A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3.5. How many values in total?
- 17th November 1978Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
- 18th November 1978Write 6/(x + 6) + 4/(x - 6) as a single fraction.
- 19th November 1978y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 20th November 1978A cuboid measures 4 cm by 10 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 21st November 1978A bag holds 3 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 22nd November 1978On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 23rd November 1978Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
- 24th November 1978Solve 12x^2 + x - 1 = 0.
- 25th November 1978y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
- 26th November 1978A cuboid measures 5 cm by 8 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 27th November 1978A bag holds 6 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 28th November 1978A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3. How many values in total?
- 29th November 1978A rectangle is 10 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 30th November 1978f(x) = 2x + 7. Work out the inverse function f^-1(x).