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8\hspace{20pt}27\hspace{20pt}49\hspace{20pt}51\hspace{20pt}53\hspace{20pt}55\hspace{20pt}99
From this list write down the square number.
554
536
580
Change 3.2 metres into millimetres. ......................................... mm [1]
515
562
524
Write each number in standard form.
(a) 28010 ...................................................... [1]
(b) 0.100209 ................................................... [1]
514
562
556
Each interior angle of a regular polygon is $170^{\circ}$.
Find the number of sides of this polygon.
519
559
579
Xian walks 8 km in 1\(\frac{1}{2}\) hours.
She then runs 10 km in 45 minutes.
Find her average speed in km/h for the whole journey.
589
600
517
Given a triangle \( \triangle ABC \) with \( AB = AC \).
In the triangle, \( \angle BAC = 28^\circ \) and \( \angle ACB = x^\circ \).
Find the value of \( x \).
Answer: \( x = \text{........................................} \) [2]
598
577
593
The lengths of the sides of a right-angled triangle are 6 cm, 8 cm and 10 cm.
Find the tangent of the smallest angle.
519
520
522
Magda buys 6 apples and 4 oranges for a total cost of $4.18. Oranges cost $0.52 each.
Find the cost of one apple.
$ .............................. [3]
536
548
581
The mean of five numbers is 16. When two extra numbers are included the mean of the seven numbers is 20. Find the mean of the two extra numbers.
574
556
519
The point $A$ has co-ordinates $(1, -5)$ and the point $B$ has co-ordinates $(9, 1)$.
Find the equation of the perpendicular bisector of $AB$ in the form $y = mx + c$.
$y = \text{................................................}$ [5]
527
538
581
(a) Simplify. \[\sqrt{300} - \sqrt{27}\] ............................................................ [2]
(b) Rationalise the denominator and simplify your answer. \[\frac{14}{3-\sqrt{2}}\] ............................................................ [3]
524
537
502
Solve the equation.
$3\log x - \log 4 = 4\log 2$
$x = \text{.............................}$ [3]
559
540
569
Rearrange the formula to make $x$ the subject.
$y = 1 - \frac{x}{3x - 5}$
$x = \text{.....................}$
592
503
600
An archer fires three arrows at a target.
The probability that the archer hits the target with each arrow is $\frac{3}{5}$.
Find the probability that the archer hits the target exactly twice.
543
562
595
