Daily Practice · Higher Plus
February 1973 5-a-day
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The batch download puts all 5 tiers' February 1973 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1973The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 2nd February 1973A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 7/15. Work out r.
- 3rd February 1973A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?
- 4th February 1973x = 122 and y = 71, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5th February 1973Work out the nth term of the quadratic sequence 1, 2, 7, 16, ...
- 6th February 1973y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
- 7th February 1973In 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.
- 8th February 1973The probability of winning a game is 1/5. A player expects 4 wins. How many games did they play?
- 9th February 1973On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 10th February 1973A car covers 320 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 11th February 1973The point (-6, -2) lies on y = f(x). Write down its image on y = f(x) + 1.
- 12th February 1973y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 13th February 1973In a vector proof you find that vector PQ = 4a + 4b and vector RS = 12a + 12b. What does this show about PQ and RS?
- 14th February 1973A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 15th February 1973A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
- 16th February 1973Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
- 17th February 1973Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 18th February 1973y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 9.
- 19th February 1973A cuboid measures 10 cm by 5 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 20th February 1973A bag holds 9 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 21st February 1973On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 22nd February 1973Simplify sqrt(18) + sqrt(18), giving your answer in the form a sqrt(b).
- 23rd February 1973f(x) = 4x + 3 and g(x) = 2x - 5. Work out fg(3).
- 24th February 1973A train slows steadily from 27 m/s to rest in 10 seconds. Work out its deceleration.
- 25th February 1973A cuboid measures 8 cm by 5 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 26th February 1973A bag holds 3 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 27th February 1973A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
- 28th February 1973A rectangle is 26 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.