Daily Practice · Higher Plus
February 1977 5-a-day
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The batch download puts all 5 tiers' February 1977 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1977Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 2nd February 1977A quadratic sequence starts 12, 24, 44, 72. Work out the second difference, and the coefficient of n^2.
- 3rd February 1977A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.
- 4th February 1977A cuboid measures 8 cm by 10 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 5th February 1977A bag holds 3 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 6th February 1977A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
- 7th February 1977A block has mass 790 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 8th February 1977Solve x^2 - 4 < 0.
- 9th February 1977y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
- 10th February 1977The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 11th February 1977A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
- 12th February 1977On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 13th February 1977x = 95 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
- 14th February 1977Write x^2 + 14x + 3 in the form (x + a)^2 + b.
- 15th February 1977y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
- 16th February 1977In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 17th February 1977The probability of winning a game is 1/2. A player expects 12 wins. How many games did they play?
- 18th February 1977A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?
- 19th February 1977A car covers 330 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 20th February 1977Work out the coordinates of the turning point of y = x^2 + 14x - 10.
- 21st February 1977y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 25.
- 22nd February 1977In a vector proof you find that vector PQ = a - 5b and vector RS = 2a - 10b. What does this show about PQ and RS?
- 23rd February 1977A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
- 24th February 1977On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 25th February 1977Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
- 26th February 1977Simplify (x^2 + 3x - 28)/(x - 4).
- 27th February 1977A train slows steadily from 27 m/s to rest in 4 seconds. Work out its deceleration.
- 28th February 1977A cuboid measures 5 cm by 4 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.