Daily Practice · Higher Plus
February 1969 5-a-day
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The batch download puts all 5 tiers' February 1969 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1969A car covers 120 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.
- 2nd February 1969Make x the subject of 2x + 3 = y(x + 3).
- 3rd February 1969y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 4th February 1969In a vector proof you find that vector PQ = a - 6b and vector RS = 3a - 18b. What does this show about PQ and RS?
- 5th February 1969A bag holds 5 red and n blue counters. The probability of taking a red is 5/9. Work out n.
- 6th February 1969On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 7th February 1969Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 8th February 1969Write 6/(x - 5) + 6/(x + 5) as a single fraction.
- 9th February 1969y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
- 10th February 1969A cuboid measures 15 cm by 6 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 11th February 1969A bag holds 9 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 12th February 1969A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
- 13th February 1969Simplify sqrt(32) + sqrt(98), giving your answer in the form a sqrt(b).
- 14th February 1969Solve 4x^2 + 17x + 15 = 0.
- 15th February 1969y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 49.
- 16th February 1969A cuboid measures 12 cm by 9 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 17th February 1969A bag holds 4 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 18th February 1969On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 19th February 1969A rectangle is 27 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 20th February 1969f(x) = 7x + 3. Work out the inverse function f^-1(x).
- 21st February 1969A train slows steadily from 17 m/s to rest in 10 seconds. Work out its deceleration.
- 22nd February 1969The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 23rd February 1969A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
- 24th February 1969A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
- 25th February 1969Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
- 26th February 1969Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.
- 27th February 1969y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
- 28th February 1969In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.