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Самостоятельная работа по математике, 9 класс: Arithmetic with integers and fractions. 10 заданий с ответами и объяснениями. Темы: Arithmetic with integers and fractions, Order of operations, Percentages, Basic equations, Geometry and measurement. Длительность — 50 мин.
Задания самостоятельной работы
Ниже — полный список заданий с правильными ответами и объяснениями. На занятии репетитор может скрыть ответы и открывать их после того, как ученик попробует ответить сам.
1
What is the value of 7 + 3 × 4?
40
19
28
13
Объяснение: Use the order of operations: multiply first, then add. 3 × 4 = 12, and 7 + 12 = 19.
2
Which fraction is equivalent to 3/4?
6/8
3/8
4/3
9/16
Объяснение: Equivalent fractions are made by multiplying the numerator and denominator by the same number. 3/4 = 6/8.
3
What is 5/6 - 1/6?
4/6
6/12
1/6
5/12
Объяснение: The denominators are the same, so subtract the numerators: 5 - 1 = 4. The result is 4/6, which can also be simplified to 2/3.
4
A shirt costs 20 dollars and is discounted by 25%. What is the discount amount?
5 dollars
10 dollars
15 dollars
25 dollars
Объяснение: 25% of 20 is 0.25 × 20 = 5, so the discount amount is 5 dollars.
5
Solve for x: x + 9 = 14
3
5
23
14
Объяснение: Subtract 9 from both sides: x = 14 - 9 = 5.
6
Which of the following are prime numbers?
2
9
11
15
Объяснение: A prime number has exactly two positive factors: 1 and itself. 2 and 11 are prime, while 9 and 15 are composite.
7
What is the area of a rectangle with length 8 cm and width 3 cm?
11 cm²
24 cm²
16 cm²
48 cm²
Объяснение: Area of a rectangle = length × width. 8 × 3 = 24 cm².
8
Which number is greatest?
0.6
5/8
62%
0.59
Объяснение: Convert to decimals: 0.6 = 0.60, 5/8 = 0.625, 62% = 0.62, and 0.59 = 0.59. The greatest is 5/8, so check carefully: 0.625 is larger than 0.62. Therefore the greatest is 5/8.
9
A number is multiplied by 4 and then 7 is added. The result is 23. Which equation matches this situation?
4x + 7 = 23
x + 4 + 7 = 23
4(x + 7) = 23
x/4 + 7 = 23
Объяснение: The phrase 'multiplied by 4 and then 7 is added' translates to 4x + 7 = 23.
10
Which statements are true about a triangle?
It has 3 sides
It has 4 vertices
The sum of its interior angles is 180°
It always has equal sides
Объяснение: A triangle has 3 sides, and the sum of its interior angles is 180°. It does not always have equal sides.
