Daily Practice · Higher Plus
May 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1980In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 2nd May 1980The probability of winning a game is 1/4. A player expects 22 wins. How many games did they play?
- 3rd May 1980On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4th May 1980x = 156 and y = 79, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5th May 1980Use the iteration x(n+1) = cube root of (2x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.
- 6th May 1980y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
- 7th May 1980In a vector proof you find that vector PQ = 6a - 5b and vector RS = 12a - 10b. What does this show about PQ and RS?
- 8th May 1980A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
- 9th May 1980A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
- 10th May 1980A car covers 150 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 11th May 1980Work out the nth term of the quadratic sequence 4, 2, 2, 4, ...
- 12th May 1980y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 64.
- 13th May 1980A cuboid measures 6 cm by 13 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 14th May 1980A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 15th May 1980On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 16th May 1980Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
- 17th May 1980The point (-6, -6) lies on y = f(x). Write down its image on y = f(x + 2).
- 18th May 1980A train slows steadily from 28 m/s to rest in 8 seconds. Work out its deceleration.
- 19th May 1980A cuboid measures 8 cm by 4 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 20th May 1980A bag holds 3 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 21st May 1980A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?
- 22nd May 1980Simplify sqrt(72) + sqrt(98), giving your answer in the form a sqrt(b).
- 23rd May 1980Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 24th May 1980y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
- 25th May 1980The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 26th May 1980A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
- 27th May 1980On 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?
- 28th May 1980A rectangle is 13 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 29th May 1980f(x) = 4x - 6 and g(x) = 2x - 8. Work out fg(-3).
- 30th May 1980y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
- 31st May 1980In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.