Daily Practice · Higher Plus
February 1974 5-a-day
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The batch download puts all 5 tiers' February 1974 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1974y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
- 2nd February 1974In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 3rd February 1974The probability of winning a game is 7/8. A player expects 21 wins. How many games did they play?
- 4th February 1974On 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?
- 5th February 1974Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 6th February 1974In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 7th February 1974y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
- 8th February 1974In a vector proof you find that vector PQ = 5a + 6b and vector RS = 20a + 24b. What does this show about PQ and RS?
- 9th February 1974A bag holds 3 red and n blue counters. The probability of taking a red is 3/8. Work out n.
- 10th February 1974A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
- 11th February 1974A block has mass 600 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 12th February 1974Make x the subject of 3x + 5 = y(x + 5).
- 13th February 1974y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 4.
- 14th February 1974A cuboid measures 13 cm by 9 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 15th February 1974A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 16th February 1974On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 17th February 1974x = 148 and y = 105, each correct to the nearest whole number. Work out the upper bound of x - y.
- 18th February 1974Write 2/(x + 1) + 7/(x + 5) as a single fraction.
- 19th February 1974A train slows steadily from 38 m/s to rest in 5 seconds. Work out its deceleration.
- 20th February 1974A cuboid measures 8 cm by 11 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 21st February 1974A bag holds 4 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 22nd February 1974A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
- 23rd February 1974A car covers 760 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.
- 24th February 1974Solve 8x^2 - 14x + 3 = 0.
- 25th February 1974y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
- 26th February 1974The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 27th February 1974A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
- 28th February 1974On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?