Daily Practice · Higher Plus
April 1977 5-a-day
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The batch download puts all 5 tiers' April 1977 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1977On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2nd April 1977A car covers 670 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.
- 3rd April 1977Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.
- 4th April 1977y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
- 5th April 1977A cuboid measures 7 cm by 11 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 6th April 1977A bag holds 7 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 7th April 1977A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 8th April 1977Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.
- 9th April 1977Use the iteration x(n+1) = cube root of (12x(n) + 2) with x(0) = 4. Work out x(1) to 3 decimal places.
- 10th April 1977y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 16.
- 11th April 1977The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 12th April 1977A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 13th April 1977On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 14th April 1977Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 15th April 1977Work out the nth term of the quadratic sequence 1, 2, 7, 16, ...
- 16th April 1977A train slows steadily from 32 m/s to rest in 5 seconds. Work out its deceleration.
- 17th April 1977In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 18th April 1977The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
- 19th April 1977A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 0.6. How many values in total?
- 20th April 1977A rectangle is 23 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 21st April 1977The point (-5, -5) lies on y = f(x). Write down its image on y = f(x) - 1.
- 22nd April 1977y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 23rd April 1977In a vector proof you find that vector PQ = 6a + 4b and vector RS = 24a + 16b. What does this show about PQ and RS?
- 24th April 1977A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 25th April 1977On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 26th April 1977Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
- 27th April 1977Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
- 28th April 1977y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
- 29th April 1977A cuboid measures 15 cm by 3 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 30th April 1977A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?