Maths practice for 14 year olds - page 282 of 361
Number of problems found: 7214
- Brother ages
Milan and Methodius are now 70 years old. Seven years ago, Milan was 1.8 times older than Methodius. Determine how old Milan is now and how many Metoděj is. - Price reduction
The goods became cheaper twice a row, first by 18% and then by 16% of the new amount. After this double reduction, it cost precisely 516 euros and 60 cents. Determine the flood amount of the goods. - Belgium vs Italy
Belgium played a match with Italy and Belgium won by two goals. The match fell a total of 6 goals. Determine the number of goals scored by Belgium and Italy. - Root relationship
Dana and Julia's numbers are different. Dana's number represents the eleventh root of Julkin's number. The sum of their numbers is 2050. Determine what number Dana has and what Julia has. - Arithmetic progression
Determine the sum of the second and fifth AP members if a1 = -4.12, d = -0.7 - Exponent value
Determine x if 27^x = 1/3 - Laptop discount
The laptop was discounted by x euros. After a 15% reduction, it cost 595 euros. How many euros did the laptop cost before? - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Quotient
Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1.6, and a1-a2=2.4. - Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Threesome
Dana, Dalibor, and Michael have a combined 57 years. Dana is five years older than Dalibor, but Dana is five years younger than Michael. Find out how old Dana, Dalibor, and Michael are. - Sale off
The product cost 95 euros before the sale. After-sale off cost 74 euros and 10 cents. About what percentage of products became cheaper? - Coins
Denis and Zdeno together have 97 coins. If Denis had four coins less than he has now, the coins would be in the ratio 14:17. Determine the number of coins owned by Denis and Zdeno. - Cleaners
Miles would clean the room in 2.5 hours, and Eric would take 10 hours. How long would it take them to clean the room together? - Determine AP
Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71 - Nuts
Peter has 49 nuts in total. There are three more walnuts than hazelnuts, and two more hazelnuts than almonds. Determine the number of walnuts, hazelnuts, and almonds. - Unknown number 4
I think number. When I divided its square root by its 1/9, I got a number 1. What number am I thinking? - Elimination method
Solve the system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15 - Real roots
Determine the real root of the equation: x-3: x-8 = 32 - Friends
James and Jerry are friends. Together they have 48 toy cars. If James takes eight cars from Jerry, Jerry would have 1.5 times as many toy cars as James. How many toy cars does each one have?
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