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If you want to give an answer like `x^2` then type x^2.

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Maths Genie Practice Paper 2 Higher June 2019 (Mathsgrader Version)
Q1


(a)



(1 mark)


(b)



(2 marks)


(c)



(2 marks)




Q2



(a)

(1 mark)


(b)

(2 marks)




Q3



(2 marks)




Q4



(2 marks)




Q5



(2 marks)




Q6




(3 marks)




Q7


(3 marks)




Q8

Here is a Venn diagram.





(a)
(1 mark)


(b)

(2 marks)




Q9



Height `cm`
Frequency
`140 < h \le 150`
`150 < h \le 160`
`160 < h \le 170`

`cm`
(3 marks)




Q10


`g`/`ml`
(3 marks)




Q11



(2 marks)




Q12

Shape A is a regular triangle. Shape B is a regular octagon

Shape P is a regular polygon. How many sides does P have?



(4 marks)




Q13


On the grid shade the region that satisfies all these inequalities



$$y \ge x-1$$ $$x \le 6-2y$$ $$x\ge -3$$

(2 marks)




Q14



(2 marks)




Q15

Using `X_{n+1} = \frac {\sqrt{5x_{n}+1}}{3}`

Starting with `X_{0} = 1` find the values of `X_{1}`, `X_{2}` and `X_{3}`



`X_{1}=` `X_{2}=` `X_{3}=`
(3 marks)




Q16



(4 marks)




Q17

Here is a distance time graph.




(a)

(2 marks)


(b)

(3 marks)


Q18

The diagram shows cuboid ABCDEFGH.



(3 marks)




Q19

The diagram shows a badge which is formed of a sector of a circle, centre O, and a triangle AOB.



(3 marks)




Q20



Equation
Graph letter
`y=sinx`
`y=tanx`
`y=-x^2+3`
(3 mark)




Q21



(3 marks)




Q22

The table shows information about the speed, in mph, of 120 cars.

Speed (mph)
Freq.
Freq. Density
`40 < s \le 50`
24
`50 < s \le 65`
30
`65 < s \le 80`
45


Fill in the missing values in the table



(4 marks)




Q23


(a)

A, B and C are points on the circumference of a circle with radius 4 cm. AB is a diameter CD is a tangent to the circle at C

CD is a tangent to the circle at C

CD = 10cm

Find the size of angle CAB to 3 significant figures.



o
(4 marks)




Q24



`x=` `y=`

`x=` `y=`
(4 marks)




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