Back to School - Math Test

1 One hundred eighty more than DLXX is

	DCL
	DCCL
	DCCXC
	DCCC

2 Which number is divisible by 5 and by 9?

	329
	369
	640
	675

3 On which number line is the distance between the marked points K and L equal to 2?

4 0.08²=?

	0.16
	0.64
	0.0016
	0.0064

5 John cycled 12 km in 36 minutes. How long will he travel the next 30 km if he keeps driving at the same pace?

	80 min
	108 min
	126 min
	90 min

6 The figure shows a figure consisting of a triangle and a trapezoid.

The area of the entire shape is

	85
	116
	125
	148

7 The skeleton of a regular hexagonal pyramid with the edge of the base 10 cm long was constructed from a piece of wire 240 cm long. The side edge of this pyramid has a length of

	40 cm
	24 cm
	20 cm
	30 cm

8 The area of a circle with radius √3 cm is

	4√3π cm2
	3π cm2
	2√3π cm2
	12π cm2

9 m=1.5, n=0.5, 4m-n=?

	0.5
	3.5
	5.5
	6.5

10 The rectangular plot measures 40 m * 50 m. The rectangle reproducing the plot on a 1:500 scale plan has the dimensions of

	4 cm * 5 cm
	0.4 cm * 0.5 cm
	8 cm * 10 cm
	0.8 cm * 1 cm

11 There are 60 bottles of juice in the basement, including 20 bottles of apple juice and 30 bottles of cherry juice. There is raspberry juice in the other bottles. The probability that a randomly selected bottle contains raspberry juice is

	1/6
	1/3
	1/2
	1/5

12 The KLM triangle is drawn in the coordinate system.

The point L has the coordinates of

	(-3, 4)
	(4, -3)
	(3, 4)
	(4, 3)

13 Assess the truthfulness of the given sentences. Mark T if the sentence is true or F if it is false.

T	F
		Any quadrilateral with all sides of the same length is a square.
		Any quadrilateral that all angles have the same measure is a square.

14 Assess the truthfulness of the given sentences. Mark T if the sentence is true or F if it is false.

T	F
		2(3x-1)-(x-1)+4=5x+1
		a(4a-b)-b(3b-a)=4a2-3b2

15 The quadrilateral ABCD is a rectangle with |AB| = 12 cm and |BC| = 5 cm.
Assess the truthfulness of the given sentences. Mark T if the sentence is true or F if it is false.

T	F
		The area of the triangle ABC is 60 cm2.
		The length of the diagonal BD of the rectangle is 13 cm.

A regular bus ticket costs $x, and a reduced ticket costs $1.50 less.

16 Write down an algebraic expression for the total cost of seven tickets: two normal tickets and five reduced tickets.

$

17 Calculate the total cost of purchasing seven tickets: two normal tickets and five reduced tickets, if the normal ticket costs $3.80.

$

18 The chest of drawers cost $250. The price of the chest of drawers was first reduced by 20% and then increased by 10%. Calculate the price of the chest of drawers after two consecutive price changes.

$

19 Mr. John drove 240 km by car in 4 hours. The graph shows the change in the distance traveled over this time.

Use the information in the chart to answer the questions.

How many kilometers did Mr. John travel in the first hour from the start? km

At what average speed did Mr. John drive after the break? km/h

20 Mr. Thomas had a certain amount of money in his wallet. He spent a third of this amount on the purchase of a book, half of the rest was spent on a cinema ticket. He gave the last $20 to his son. How much money did Mr. Thomas spend on the cinema ticket?

$

21 3x-2(x+2)=3+5(1-x)

x=

22 The water tank has the shape of a cuboid. The bottom of the tank is 20 dm and 10 dm, the height of the tank is 4 dm. So much water was poured into the empty tank that it was halfway up. How many liters of water were poured into the tank?

L

23 The chart presents the percentage of the attendance of students of a certain school on the consecutive days of the week.

Use the chart to complete the sentences.

The biggest drop in attendance, compared to the previous day, took place on .

The average attendance during the week was %.

24 The figure shows a rectangle.

α=25°, β=?

°

25 The figure shows an isosceles trapezoid, ABCD.

Calculate the length of the base AB.

26 In the rectangle ABCD, side AB is 8 cm long and side BC is 6 cm long. Point K divides the side BC into two segments so that the segment BK is twice as long as the segment KC. Point L is the middle of the line segment CD. Find the area of the quadrilateral ABKL.

cm2