Daily Practice · Higher Plus
October 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1980A rectangle is 29 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2nd October 1980Write x^2 + 14x + 12 in the form (x + a)^2 + b.
- 3rd October 1980y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 4.
- 4th October 1980In a vector proof you find that vector PQ = 4a + 3b and vector RS = 16a + 12b. What does this show about PQ and RS?
- 5th October 1980A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 6th October 1980On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 7th October 1980Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
- 8th October 1980Work out the coordinates of the turning point of y = x^2 + 2x + 14.
- 9th October 1980A train slows steadily from 21 m/s to rest in 8 seconds. Work out its deceleration.
- 10th October 1980A cuboid measures 7 cm by 7 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 11th October 1980A bag holds 7 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 12th October 1980A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
- 13th October 1980A block has mass 900 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 14th October 1980Simplify (x^2 - 2x - 24)/(x + 4).
- 15th October 1980y is inversely proportional to x^2. When x = 3, y = 8. Work out y when x = 2.
- 16th October 1980A cuboid measures 13 cm by 9 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 17th October 1980A bag holds 7 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 18th October 1980On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 19th October 1980x = 128 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
- 20th October 1980In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 21st October 1980y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
- 22nd October 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.
- 23rd October 1980A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 24th October 1980A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 25th October 1980A car covers 690 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 26th October 1980Make x the subject of 4x + 5 = y(x + 5).
- 27th October 1980y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 4.
- 28th October 1980In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 29th October 1980The probability of winning a game is 3/10. A player expects 9 wins. How many games did they play?
- 30th October 1980On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 31st October 1980Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.