Daily Practice · Higher Plus
February 1961 5-a-day
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The batch download puts all 5 tiers' February 1961 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1961A rectangle is 17 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2nd February 1961Work out the nth term of the quadratic sequence 2, 13, 30, 53, ...
- 3rd February 1961y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 4th February 1961The 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.
- 5th February 1961A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
- 6th February 1961A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?
- 7th February 1961Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 8th February 1961The point (-3, -6) lies on y = f(x). Write down its image on y = f(x) + 5.
- 9th February 1961y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 81.
- 10th February 1961In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 11th February 1961The probability of winning a game is 1/10. A player expects 9 wins. How many games did they play?
- 12th February 1961On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 13th February 1961A block has mass 880 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 14th February 1961Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 15th February 1961A train slows steadily from 18 m/s to rest in 5 seconds. Work out its deceleration.
- 16th February 1961In a vector proof you find that vector PQ = 3a - b and vector RS = 15a - 5b. What does this show about PQ and RS?
- 17th February 1961A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
- 18th February 1961A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 1.4. How many values in total?
- 19th February 1961x = 39 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
- 20th February 1961f(x) = 3x + 6 and g(x) = 4x - 3. Work out fg(-1).
- 21st February 1961y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
- 22nd February 1961A cuboid measures 11 cm by 3 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 23rd February 1961A bag holds 5 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 24th February 1961On 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?
- 25th February 1961A car covers 340 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 26th February 1961The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
- 27th February 1961y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
- 28th February 1961A cuboid measures 7 cm by 9 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.