Numbers & Operations

Problem 1

Calculate $31 - 8$ .

See Solution

Problem 2

Calculate $-2^{5} \div 4$ .

See Solution

Problem 3

Calculate $(4+27)-32$ .

See Solution

Problem 4

Calculate $8 \div 2(2+2)$ .

See Solution

Problem 5

A boat travels 222 km on 74 liters. How much gas is needed for 39 km?

See Solution

Problem 6

What is the result of $9-3 \div \frac{1}{3}+1$ ?

See Solution

Problem 7

Evaluate $-3 \Delta -1$ for the operation $a \Delta b = \frac{a+b}{\sqrt{ab}}$ where $a, b \neq 0$ .

See Solution

Problem 8

Calculate $31 - 8$ .

See Solution

Problem 9

A boat travels 222 km on 74 liters. How much gas for 39 km? Use the ratio: $\frac{74}{222} = \frac{x}{39}$ .

See Solution

Problem 10

Calculate $\frac{32}{4}$ .

See Solution

Problem 11

Calculate $2^{5} \div 4$ .

See Solution

Problem 12

Calculate $(4+27)-\frac{32}{4}$ .

See Solution

Problem 13

A car travels 234 km on 39 liters. How many liters are needed for 414 km?

See Solution

Problem 14

Calculate $-2^{5} \div 4$ .

See Solution

Problem 15

Calculate $-32 \div 4$ .

See Solution

Problem 16

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4}$ .

See Solution

Problem 17

Calculate the value of $(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4$ and $6 \div 2(1+2)$ .

See Solution

Problem 18

Calculate $31 - \frac{32}{4}$

See Solution

Problem 19

Find the time when balls A and B return to the starting point, given A rotates 2 times in 26 min and B 5 times in 35 min.

See Solution

Problem 20

Calculate $\frac{6}{2}(1+2)$ .

See Solution

Problem 21

Calculate $1^{4} \times 2^{2} + 3^{3}$ .

See Solution

Problem 22

Calculate $(1 \times 4) + 27$ .

See Solution

Problem 23

Calculate $1 \times 4 - 7$ .

See Solution

Problem 24

Calculate $1 \times 4 + 27$ .

See Solution

Problem 25

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-(2^{5} \div 4)$ .

See Solution

Problem 26

What is the value of $6 \div 2(1+2)$ ?

See Solution

Problem 27

Solve $60 \div 2(3+7)$ .

See Solution

Problem 28

Calculate $31 - 32 \div 4$ .

See Solution

Problem 29

Calculate $(4+27)-32 \div 4$ .

See Solution

Problem 30

Prove that $n^{7}-n$ is divisible by 42 for all positive integers $n$ and that primes other than 2 or 5 divide infinitely many of $1, 11, 111, 1111,$ etc.

See Solution

Problem 31

What time is nearest to midnight: A. 11:55 a.m., B. 12:06 a.m., C. 11:50 a.m., D. 12:03 a.m.?

See Solution

Problem 32

Prove that for any positive integer $n$ , $n^{7}-n$ is divisible by 42. Also, show $p^{2} \equiv 1(\bmod 24)$ for primes $p>3$ .

See Solution

Problem 33

Prove that $n^{7}-n$ is divisible by 42 for all positive integers $n$ and $p>3$ prime, $p^{2} \equiv 1(\bmod 24)$ .

See Solution

Problem 34

絲带的长度是繩子长度的幾分之幾？繩子 70 厘米，絲带 21 厘米。

See Solution

Problem 35

甲、乙兩地相距 $7 \frac{1}{2}$ 公里，爸爸駕車走了 $1 \frac{1}{2}$ 公里，求他走了全程的幾分之幾？

See Solution

Problem 36

一盒雞蛋有 $\frac{3}{4}$ 打，每隻雞蛋值 $1 \frac{4}{5}$ 元，求兩盒的總價。

See Solution

Problem 37

把一條麻繩分成 5 段，每段長 $3 \frac{1}{5}$ 米，剩下 $2 \frac{3}{8}$ 米，求原長多少米？

See Solution

Problem 38

Solve for $x$ in the equation: $1 + 2 = x$ .

See Solution

Problem 39

Calculate the sum: $500 + 300 + 200$ .

See Solution

Problem 40

Calculate the value of $\frac{8}{5} : \frac{14}{-3} \cdot \frac{8}{14}$ .

See Solution

Problem 41

Convert the following Roman numerals to Arabic numerals: III, VII, XIV, XVI, XIX, XXI, XXIX, XXXV, XLIII, XLVII, LII, LIX.

See Solution

Problem 42

Calculate $-\frac{3}{5}:(0.25-\frac{3}{6}): 4 \frac{2}{3}$ .

See Solution

Problem 43

Solve for $x$ in the equation $2 + 3 = x$ .

See Solution

Problem 44

What is the difference between 20,400,000 and 2,400,000? Round the answer to the nearest hundred thousand.

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Problem 45

Find the difference between 20,400,000 and 2,400,000, then round to the nearest hundred thousand.

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Problem 46

How many cans of Coke are left after selling 862,456 from 2,564,546? Round to the nearest ten thousand.

See Solution

Problem 47

Calculate the total of sales volumes: 2,525 million, 4,716 million, 7,241 million, and 9,096 million.

See Solution

Problem 48

Divide \$380000000 by 8 and round to the nearest ten thousand. What is the amount each person receives?

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Problem 49

Tentukan apakah pernyataan berikut benar atau salah berdasarkan sifat asosiatif: $13 \times 7=7 \times 13$ , $9 \times(7-3)=(9 \times 7)-(9 \times 3)$ , $3 \times(5 \times 7)=(3 \times 5) \times 7$ , $[-50+160]: 4 \times(-2)$ .

See Solution

Problem 50

\$380000000 was divided among 8 people. What is each person's share rounded to the nearest \$10000?

See Solution

Problem 51

Kelipatan persekutuan 6 dan 9 yang kurang dari 40 adalah $6, 12, 18, 24, 30, 36$ .

See Solution

Problem 52

12. Hitung $7-(-5)+(-2) \times 4=\ldots$
13. Temukan nilai $\sqrt[3]{64}-\sqrt{64}+\sqrt{36}$ adalah .............

See Solution

Problem 53

Di sebuah kota terdapat 300 bola plastik: 230 berwarna putih, 40 bola besar. Jumlah bola besar 80. Hitung bola kecil tidak kuning. A. 30

See Solution

Problem 54

What is the sum of the series $-2-3-4-5-\cdots-101$ ?

See Solution

Problem 55

Federica ha 48 tulipani, 32 rose e 24 ciclamini. Quanti fiori ci sono in ogni mazzetto se ne fa 8?

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Problem 56

Una pasticceria ha 12 confezioni di 6 uova e già 23 uova. Quante uova ha in totale? Calcola $12 \times 6 + 23$ .

See Solution

Problem 57

Calculate $17 \times 5 + 3$ .

See Solution

Problem 58

Digite o número que falta na sequência: $1, 2, \square, 8, 16, 32$ .

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Problem 59

Calculate $4\% + 8\%$ and set it equal to $\left(\frac{2}{3}\right)^{-1}$ . What is the value?

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Problem 60

Evaluate: $\left\{[(-3) / 2]^{2}\right\}^{-3}$

See Solution

Problem 61

Calculate $6 * 20$ .

See Solution

Problem 62

What is the market price of ¥ 2,000 stocks for 98 shares?

See Solution

Problem 63

Niel earned a commission of \$30,000 on a sale of ¥100,000. What is his commission rate?

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Problem 64

How many of the 28 tiles does Jenaro need to paint black if $\frac{1}{4}$ must be black?

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Problem 65

Glan Macapuno has 50 bonds worth $¥ 1,500.00$ each at $3.49\%$ interest. What is his annual income from them?

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Problem 66

Ms. Mhurn Talagon bought 50 ACTS bonds. What is her total investment if the commission is \$155.00?

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Problem 67

In Midas Corporation, with 95 shares at a selling price of \$170 and total expenses of \$780, find the net proceeds.

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Problem 68

Calculate $6 \times Rm\ 910 \div 4$ .

See Solution

Problem 69

Ако $\frac{0,024 \cdot 0,001}{0,04 \cdot 6}=x \cdot 10^{y}$ , намерете $x+y$ .

See Solution

Problem 70

Sergio tiene 4 cajas con 4 filas y 4 jarras por fila. ¿Cuántas jarras hay en total? $4 \times 4 \times 4$

See Solution

Problem 71

Calculate $\frac{\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{2}}{3^{-1}}$ .

See Solution

Problem 72

Calculate the expression: $\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{\frac{1}{2}}$

See Solution

Problem 73

Calculate the expression: $-3 \cdot[8+4 \cdot(-2-5)]$

See Solution

Problem 74

Calculate $\left(-\frac{3}{5}-\frac{4}{5}\right) \div \frac{14}{25}$ .

See Solution

Problem 75

Calculate the expression $(-7+4)-[(-9+2)-(4-3)]$ .

See Solution

Problem 76

Calculate the expression $(-1-3) \cdot[(-7) \cdot(-9)+8 \cdot(3-9)]$ .

See Solution

Problem 77

Théo paie $71,40 €$ pour $70 \mathrm{~L}$ . Quel est le prix d'un litre de carburant pour Théo ?

See Solution

Problem 78

Calcule la quantité de chocolat nécessaire pour 20 personnes si 180 g sont prévus pour 6 personnes.

See Solution

Problem 79

See Solution

Problem 80

Pour 20 personnes, combien de cL de lait pour 1 œuf/personne et 3 œufs pour $35 \mathrm{cL}$ de lait ? Suffit-il avec 3 L de lait ?

See Solution

Problem 81

Pour 20 personnes, calculez le lait nécessaire en respectant 3 œufs pour $35 \mathrm{cL}$ de lait. 3 L de lait suffisent-ils ?

See Solution

Problem 82

Théo a acheté un T-shirt à $39 €$ avec une remise de $20 \%$ . Quel est le prix soldé ?

See Solution

Problem 83

Calculate $(3 \times 10^{199}) + (2 \times 10^{201})$ and express the result in standard form.

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Problem 84

Calculate the result of $5 - 2$ .

See Solution

Problem 85

Soit $n$ un entier. Trouve l'entier précédent et suivant de $n$ . Prouve que la somme de 3 entiers consécutifs est un multiple de 3.

See Solution

Problem 86

Convert the ratio $3:8$ into a percentage. Choose one: a. $22,5 \%$ b. $19 \%$ c. $27 \%$ d. $37,5 \%$

See Solution

Problem 87

Find the number that is the "opposite" of 7 among \{46, 48, 49, 44\}.

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Problem 88

How many years are in a decade? Options: 10, 5, 20, 15.

See Solution

Problem 89

Identify which option is not a subset of real numbers: Natural numbers, Whole numbers, Rational numbers, or none of the above.

See Solution

Problem 90

Calculate $15 \times 10$ .

See Solution

Problem 91

Calculate the product of 15 and 70. What is $15 \times 70$ ?

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Problem 92

What is the sum of $42.6 + 0.45 + 30.22$ ? Provide your answer.

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Problem 93

Identify the even number from this list: 113-144, $330-366$ , 471-510, $890-899$ .

See Solution

Problem 94

Identify the odd number from this list: 782, 984, 102, 633.

See Solution

Problem 95

The next odd number after 37 is: 39.

See Solution

Problem 96

What is the value of 7 in the product of 2.7 and $10^{2}$ ? A. 0.007 B. 0.07 C. 7 D. 70

See Solution

Problem 97

Round 2.078 to the hundredths place. Options: M. 2.10, P. 2.08, R. 2.07, S. 2.00.

See Solution

Problem 98

Choose three numbers less than 12.13 from the options: A. 12.146 B. 12.025 C. 12.5 D. 12.103 E. 12.072.

See Solution

Problem 99

Calculate: $64 \div(15-5+12 \div 2)+9 \times 2-1$ . What is the result?

See Solution

Problem 100

Calculate the force on a submarine door at $500 \mathrm{~m}$ depth with area $0.4^{2}$ and water density $1.03$ .

See Solution

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Numbers & Operations

Problem 1

Calculate 31−8 31 - 8 31−8.

Problem 2

Calculate −25÷4 -2^{5} \div 4 −25÷4.

Problem 3

Calculate (4+27)−32 (4+27)-32 (4+27)−32.

Problem 4

Calculate 8÷2(2+2) 8 \div 2(2+2) 8÷2(2+2).

Problem 5

A boat travels 222 km on 74 liters. How much gas is needed for 39 km?

Problem 6

What is the result of 9−3÷13+1 9-3 \div \frac{1}{3}+1 9−3÷31​+1?

Problem 7

Evaluate −3Δ−1 -3 \Delta -1 −3Δ−1 for the operation aΔb=a+bab a \Delta b = \frac{a+b}{\sqrt{ab}} aΔb=ab​a+b​ where a,b≠0 a, b \neq 0 a,b=0.

Problem 8

Calculate 31−8 31 - 8 31−8.

Problem 9

A boat travels 222 km on 74 liters. How much gas for 39 km? Use the ratio: 74222=x39 \frac{74}{222} = \frac{x}{39} 22274​=39x​.

Problem 10

Calculate 324 \frac{32}{4} 432​.

Problem 11

Calculate 25÷42^{5} \div 425÷4.

Problem 12

Calculate (4+27)−324 (4+27)-\frac{32}{4} (4+27)−432​.

Problem 13

A car travels 234 km on 39 liters. How many liters are needed for 414 km?

Problem 14

Calculate −25÷4-2^{5} \div 4−25÷4.

Problem 15

Calculate −32÷4-32 \div 4−32÷4.

Problem 16

Calculate ((14×22)+33)−254 \left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4} ((14×22)+33)−425​.

Problem 17

Calculate the value of (14×22+33)−25÷4(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4(14×22+33)−25÷4 and 6÷2(1+2)6 \div 2(1+2)6÷2(1+2).

Problem 18

Calculate 31−324 31 - \frac{32}{4} 31−432​

Problem 19

Find the time when balls A and B return to the starting point, given A rotates 2 times in 26 min and B 5 times in 35 min.

Problem 20

Calculate 62(1+2) \frac{6}{2}(1+2) 26​(1+2).

Problem 21

Calculate 14×22+33 1^{4} \times 2^{2} + 3^{3} 14×22+33.

Problem 22

Calculate (1×4)+27 (1 \times 4) + 27 (1×4)+27.

Problem 23

Calculate 1×4−71 \times 4 - 71×4−7.

Problem 24

Calculate 1×4+271 \times 4 + 271×4+27.

Problem 25

Calculate ((14×22)+33)−(25÷4) \left((1^{4} \times 2^{2})+3^{3}\right)-(2^{5} \div 4) ((14×22)+33)−(25÷4).

Problem 26

What is the value of 6÷2(1+2) 6 \div 2(1+2) 6÷2(1+2)?

Problem 27

Solve 60÷2(3+7) 60 \div 2(3+7) 60÷2(3+7).

Problem 28

Calculate 31−32÷4 31 - 32 \div 4 31−32÷4.

Problem 29

Calculate (4+27)−32÷4 (4+27)-32 \div 4 (4+27)−32÷4.

Problem 30

Prove that n7−n n^{7}-n n7−n is divisible by 42 for all positive integers n n n and that primes other than 2 or 5 divide infinitely many of 1,11,111,1111, 1, 11, 111, 1111, 1,11,111,1111, etc.

Problem 31

What time is nearest to midnight: A. 11:55 a.m., B. 12:06 a.m., C. 11:50 a.m., D. 12:03 a.m.?

Problem 32

Prove that for any positive integer n n n, n7−n n^{7}-n n7−n is divisible by 42. Also, show p2≡1( mod 24) p^{2} \equiv 1(\bmod 24) p2≡1(mod24) for primes p>3 p>3 p>3.

Problem 33

Prove that n7−n n^{7}-n n7−n is divisible by 42 for all positive integers n n n and p>3 p>3 p>3 prime, p2≡1( mod 24) p^{2} \equiv 1(\bmod 24) p2≡1(mod24).

Problem 34

絲带的长度是繩子长度的幾分之幾？繩子 70 厘米，絲带 21 厘米。

Problem 35

甲、乙兩地相距 712 7 \frac{1}{2} 721​ 公里，爸爸駕車走了 112 1 \frac{1}{2} 121​ 公里，求他走了全程的幾分之幾？

Problem 36

一盒雞蛋有 34 \frac{3}{4} 43​ 打，每隻雞蛋值 145 1 \frac{4}{5} 154​ 元，求兩盒的總價。

Problem 37

把一條麻繩分成 5 段，每段長 3153 \frac{1}{5}351​ 米，剩下 2382 \frac{3}{8}283​ 米，求原長多少米？

Problem 38

Solve for x x x in the equation: 1+2=x 1 + 2 = x 1+2=x.

Problem 39

Calculate the sum: 500+300+200 500 + 300 + 200 500+300+200.

Problem 40

Calculate $31 - 8$ .

Calculate $-2^{5} \div 4$ .

Calculate $(4+27)-32$ .

Calculate $8 \div 2(2+2)$ .

What is the result of $9-3 \div \frac{1}{3}+1$ ?

Evaluate $-3 \Delta -1$ for the operation $a \Delta b = \frac{a+b}{\sqrt{ab}}$ where $a, b \neq 0$ .

Calculate $31 - 8$ .

A boat travels 222 km on 74 liters. How much gas for 39 km? Use the ratio: $\frac{74}{222} = \frac{x}{39}$ .

Calculate $\frac{32}{4}$ .

Calculate $2^{5} \div 4$ .

Calculate $(4+27)-\frac{32}{4}$ .

Calculate $-2^{5} \div 4$ .

Calculate $-32 \div 4$ .

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4}$ .

Calculate the value of $(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4$ and $6 \div 2(1+2)$ .

Calculate $31 - \frac{32}{4}$

Calculate $\frac{6}{2}(1+2)$ .

Calculate $1^{4} \times 2^{2} + 3^{3}$ .

Calculate $(1 \times 4) + 27$ .

Calculate $1 \times 4 - 7$ .

Calculate $1 \times 4 + 27$ .

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-(2^{5} \div 4)$ .

What is the value of $6 \div 2(1+2)$ ?

Solve $60 \div 2(3+7)$ .

Calculate $31 - 32 \div 4$ .

Calculate $(4+27)-32 \div 4$ .

Prove that $n^{7}-n$ is divisible by 42 for all positive integers $n$ and that primes other than 2 or 5 divide infinitely many of $1, 11, 111, 1111,$ etc.

Prove that for any positive integer $n$ , $n^{7}-n$ is divisible by 42. Also, show $p^{2} \equiv 1(\bmod 24)$ for primes $p>3$ .

Prove that $n^{7}-n$ is divisible by 42 for all positive integers $n$ and $p>3$ prime, $p^{2} \equiv 1(\bmod 24)$ .

甲、乙兩地相距 $7 \frac{1}{2}$ 公里，爸爸駕車走了 $1 \frac{1}{2}$ 公里，求他走了全程的幾分之幾？

一盒雞蛋有 $\frac{3}{4}$ 打，每隻雞蛋值 $1 \frac{4}{5}$ 元，求兩盒的總價。

把一條麻繩分成 5 段，每段長 $3 \frac{1}{5}$ 米，剩下 $2 \frac{3}{8}$ 米，求原長多少米？

Solve for $x$ in the equation: $1 + 2 = x$ .

Calculate the sum: $500 + 300 + 200$ .

Calculate the value of $\frac{8}{5} : \frac{14}{-3} \cdot \frac{8}{14}$ .

Calculate $-\frac{3}{5}:(0.25-\frac{3}{6}): 4 \frac{2}{3}$ .

Solve for $x$ in the equation $2 + 3 = x$ .

Kelipatan persekutuan 6 dan 9 yang kurang dari 40 adalah $6, 12, 18, 24, 30, 36$ .

12. Hitung $7-(-5)+(-2) \times 4=\ldots$
13. Temukan nilai $\sqrt[3]{64}-\sqrt{64}+\sqrt{36}$ adalah .............

What is the sum of the series $-2-3-4-5-\cdots-101$ ?

Una pasticceria ha 12 confezioni di 6 uova e già 23 uova. Quante uova ha in totale? Calcola $12 \times 6 + 23$ .

Calculate $17 \times 5 + 3$ .

Digite o número que falta na sequência: $1, 2, \square, 8, 16, 32$ .

Calculate $4\% + 8\%$ and set it equal to $\left(\frac{2}{3}\right)^{-1}$ . What is the value?

Evaluate: $\left\{[(-3) / 2]^{2}\right\}^{-3}$

Calculate $6 * 20$ .

How many of the 28 tiles does Jenaro need to paint black if $\frac{1}{4}$ must be black?

Glan Macapuno has 50 bonds worth $¥ 1,500.00$ each at $3.49\%$ interest. What is his annual income from them?

Calculate $6 \times Rm\ 910 \div 4$ .

Ако $\frac{0,024 \cdot 0,001}{0,04 \cdot 6}=x \cdot 10^{y}$ , намерете $x+y$ .

Sergio tiene 4 cajas con 4 filas y 4 jarras por fila. ¿Cuántas jarras hay en total? $4 \times 4 \times 4$

Calculate $\frac{\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{2}}{3^{-1}}$ .

Calculate the expression: $\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{\frac{1}{2}}$

Calculate the expression: $-3 \cdot[8+4 \cdot(-2-5)]$

Calculate $\left(-\frac{3}{5}-\frac{4}{5}\right) \div \frac{14}{25}$ .