Daily Practice · Higher Plus
February 1976 5-a-day
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The batch download puts all 5 tiers' February 1976 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1976x = 60 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2nd February 1976Write 3/(x - 1) + 5/(x - 3) as a single fraction.
- 3rd February 1976y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 9.
- 4th February 1976A cuboid measures 11 cm by 6 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 5th February 1976A bag holds 3 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 6th February 1976On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 7th February 1976A car covers 810 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 8th February 1976Solve 4x^2 + 29x + 30 = 0.
- 9th February 1976A train slows steadily from 20 m/s to rest in 4 seconds. Work out its deceleration.
- 10th February 1976A cuboid measures 13 cm by 4 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 11th February 1976A bag holds 3 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 12th February 1976A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
- 13th February 1976Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 14th February 1976f(x) = 4x - 4. Work out the inverse function f^-1(x).
- 15th February 1976y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
- 16th February 1976The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 17th February 1976A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 18th February 1976On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 19th February 1976Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
- 20th February 1976Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.
- 21st February 1976y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
- 22nd February 1976In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 23rd February 1976The probability of winning a game is 3/10. A player expects 18 wins. How many games did they play?
- 24th February 1976A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?
- 25th February 1976A rectangle is 6 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 26th February 1976Use the iteration x(n+1) = cube root of (2x(n) + 1) with x(0) = 1. Work out x(1) to 3 decimal places.
- 27th February 1976y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 49.
- 28th February 1976In a vector proof you find that vector PQ = 5a + 3b and vector RS = 15a + 9b. What does this show about PQ and RS?
- 29th February 1976A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.