Maths practice for 14 year olds - page 234 of 371
Number of problems found: 7412
- Equations - simple
Solve the system of linear equations: x-2y=6 3x+2y=4
- Summands 6879
Divide the number 111 into three summands so that each is two larger than the previous one.
- Slant height
Find the cone's volume. The cone's slant height is 5cm, and the radius of its base is 3cm.
- Eq with reciprocal
Solve the given equation with a reciprocal member: a-6/a+10=4/8
- Cooperative 6873
The cooperative has n dairy cows. How much milk would they increase yearly if each dairy cow milked 2 liters per day more?
- Nineteenth member
Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19
- Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed.
- Apples 14
Maya bought 18 apples. She used 50% of the apples to make apple pies and mixed 1/3 of the apples with other fruits to make the salad. How many apples were left?
- 3d printer
3D printing ABS filament with a diameter of 1.75 mm has a density of 1.04 g/cm³. Find the length of m = 5 kg spool filament. (how to calculate length)
- Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm
- Diofant equation
250x + 120y = 5640
- Deviation of the lines
Find the deviation of the lines AG BH in the ABCDEFGH box-cuboid if given | AB | = 3cm, | AD | = 2cm, | AE | = 4cm
- Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or
- Peroxide
How many ml should we pour 30% of peroxide (H2O2) into 100ml H2O to give a 20% solution?
- Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z.
- Square to rectangle
A square has a side, and a rectangle has a width of 2 x and a length of 3. What is the ratio of the area between a square and a rectangle?
- Flowers 2
Cha cruz has a garden. The ratio of roses to tulips is 2:5, and the ratio of roses to orchids is 7:6. Cha Cruz wonders what the ratio of tulips to orchids is. If Cha Cruz has 183 plants, how many of each kind are there?
- Boys to girls
The ratio of boys to girls at a party is 3:5. If six more boys arrived and four girls left the party, the ratio of boys to girls would be 5:6. How many people were at the party initially?
- Associative law multiplication
You obtain a 20% discount in a warehouse, but you must pay a 15% sales tax. Which would you prefer to have calculated first: discount or tax? Explain. (result write as: 1 = first discount, 2 = first tax, 3 = no matter what first)
- New ratio
The ratio of ducks and chickens in our yard is 2:3, for a total of 30 ducks and chickens. The mother gave 3 of the chickens to our neighbor. What is the new ratio now?
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