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Practice Paper 1 Higher 2019 (Mathsgenie Version)

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a)

What type of correlation is shown?

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b)

Write down the coordinates of the outlier

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c)

On another day the temperature was 12 degrees. Estimate the ice cream sales that day.

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Given that AE is 7.5cm, find the length of AD

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AC = 13cm
BC = 12cm
AB = `x`
Work out `x`

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`x=` go `y=` go

A shop decreases its prices by 20%, then a further 30%. Lisa claims that this is a 50% reduction. Show tht Lisa is wrong by giving the actual reduction.

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In a box there are black pens, red pens and green pens.

The ratio of black pens to pens that are not black is 9:11.

The ratio of green pens to pens that are not green is 3:5.

Find the ratio of black pens to red pens to green pens.

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On the grid enlarge the triangle by scale factor -1.5, centre `O`

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i)

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ii)

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iii)

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`\lt x \lt` go

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Prove that the sum of any 3 consecutive even numbers is always a divisible by 6.

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The cumulative frequency graph shows the weight, in grams, of 60 pears

The 60 pears had a minimum weight of 112 grams and a maximum weight of 149 grams. Draw a box plot to show the distribution of the weights of the pears.

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`a` is directly proportional to the square of `b`
When `a` = 12, `b` = 6
Find the value of `b` when `a` = 27

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Write `\frac{sqrt{8}+sqrt{18}}{sqrt{2}-1}` in the form `a + b\sqrt{2}`

`a=` `b=` go

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Line l passes through the point (2, 3).
Line 2 has the equation 4x – 2y = 3
Lines l and 2 are perpendicular.
Work out the equation of line 1.

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Point C is the point on OA such that OC:CA = 4:1. D is the point such that AD:DB = 1:2. CDE is a straight line. Find `\vec{BE}`

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There are some red counters and some blue counters in a bag.
The ratio of red counters to blue counters is 4:1.
Two counters are removed at random.
The probability that both the counters taken are red is `\frac{22}{35}`
Work how many blue counters are in the bag.

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