Daily Practice · Higher Plus
February 1980 5-a-day
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The batch download puts all 5 tiers' February 1980 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1980In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 2nd February 1980The probability of winning a game is 1/4. A player expects 14 wins. How many games did they play?
- 3rd February 1980A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
- 4th February 1980A block has mass 780 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5th February 1980The point (-5, -4) lies on y = f(x). Write down its image on y = f(x) - 4.
- 6th February 1980y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 4.
- 7th February 1980In a vector proof you find that vector PQ = 5a + 4b and vector RS = 15a + 12b. What does this show about PQ and RS?
- 8th February 1980A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 9th February 1980On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 10th February 1980x = 133 and y = 116, each correct to the nearest whole number. Work out the upper bound of x - y.
- 11th February 1980Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 12th February 1980A train slows steadily from 39 m/s to rest in 8 seconds. Work out its deceleration.
- 13th February 1980A cuboid measures 6 cm by 7 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 14th February 1980A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 15th February 1980A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 16th February 1980A car covers 530 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.
- 17th February 1980f(x) = 5x - 4 and g(x) = 4x + 3. Work out fg(-3).
- 18th February 1980y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
- 19th February 1980A cuboid measures 13 cm by 5 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 20th February 1980A bag holds 3 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 21st February 1980On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 22nd February 1980Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
- 23rd February 1980The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 24th February 1980y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
- 25th February 1980The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 26th February 1980A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.
- 27th February 1980A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?
- 28th February 1980Simplify sqrt(12) + sqrt(48), giving your answer in the form a sqrt(b).
- 29th February 1980A quadratic sequence starts 9, 22, 41, 66. Work out the second difference, and the coefficient of n^2.