Daily Practice · Higher Plus
February 1984 5-a-day
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The batch download puts all 5 tiers' February 1984 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1984A rectangle is 6 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2nd February 1984Solve x^2 + 4x + 3 < 0.
- 3rd February 1984y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 4th February 1984The 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.
- 5th February 1984A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.
- 6th February 1984A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3. How many values in total?
- 7th February 1984Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
- 8th February 1984Write x^2 - 14x - 10 in the form (x + a)^2 + b.
- 9th February 1984y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 25.
- 10th February 1984In 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.
- 11th February 1984The probability of winning a game is 5/8. A player expects 30 wins. How many games did they play?
- 12th February 1984On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 13th February 1984A block has mass 860 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 February 1984Work out the coordinates of the turning point of y = x^2 - 14x + 8.
- 15th February 1984A train slows steadily from 18 m/s to rest in 5 seconds. Work out its deceleration.
- 16th February 1984In a vector proof you find that vector PQ = 5a + 2b and vector RS = 25a + 10b. What does this show about PQ and RS?
- 17th February 1984A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
- 18th February 1984A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 0.8. How many values in total?
- 19th February 1984x = 79 and y = 41, each correct to the nearest whole number. Work out the upper bound of x - y.
- 20th February 1984Simplify (x^2 - 8x + 12)/(x - 6).
- 21st February 1984y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
- 22nd February 1984A cuboid measures 13 cm by 10 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 23rd February 1984A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 24th February 1984On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 25th February 1984A car covers 380 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.
- 26th February 1984In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 27th February 1984y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
- 28th February 1984A cuboid measures 5 cm by 7 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 29th February 1984A bag holds 3 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?