Daily Practice · Higher Plus
March 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1980y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 36.
- 2nd March 1980In 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.
- 3rd March 1980The probability of winning a game is 3/10. A player expects 42 wins. How many games did they play?
- 4th March 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?
- 5th March 1980A rectangle is 10 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 6th March 1980Solve x^2 - 12x + 20 > 0.
- 7th March 1980A train slows steadily from 29 m/s to rest in 8 seconds. Work out its deceleration.
- 8th March 1980In a vector proof you find that vector PQ = a - 4b and vector RS = 4a - 16b. What does this show about PQ and RS?
- 9th March 1980A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 10th March 1980A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 11th March 1980Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
- 12th March 1980Write x^2 - 14x + 11 in the form (x + a)^2 + b.
- 13th March 1980y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 14th March 1980A cuboid measures 10 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 15th March 1980A bag holds 6 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 16th March 1980On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 17th March 1980A block has mass 390 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 18th March 1980Work out the coordinates of the turning point of y = x^2 - 16x + 7.
- 19th March 1980y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
- 20th March 1980A cuboid measures 10 cm by 8 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 21st March 1980A bag holds 4 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 22nd March 1980A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 23rd March 1980x = 134 and y = 103, each correct to the nearest whole number. Work out the upper bound of x - y.
- 24th March 1980Simplify (x^2 - 49)/(x - 7).
- 25th March 1980y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 64.
- 26th March 1980The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
- 27th March 1980A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
- 28th March 1980On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 29th March 1980A car covers 800 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.
- 30th March 1980In an algebraic proof, how would you write an even number in terms of an integer n?
- 31st March 1980A train slows steadily from 20 m/s to rest in 5 seconds. Work out its deceleration.