Про цю підготовку
Діагностичний тест з математики, 10 клас: Review of Last Year’s Math. 10 завдань з відповідями та поясненнями. Теми: Arithmetic with fractions and decimals, Percentages, Ratios and proportions, Linear equations, Reading simple graphs and tables, Word problems with health and sports contexts. Тривалість — 45 хв.
Завдання діагностики
Нижче — повний перелік завдань із правильними відповідями та поясненнями. На занятті репетитор може приховати відповіді й відкривати їх після спроби учня.
1
A smoothie recipe uses 0.25 liters of yogurt. How many milliliters is that?
25 ml
250 ml
2,500 ml
0.25 ml
Пояснення: 0.25 liters = 0.25 × 1000 = 250 milliliters.
2
A runner drinks 1.5 liters of water during training. How many milliliters is this?
150 ml
1,050 ml
1,500 ml
15,000 ml
Пояснення: 1.5 liters = 1.5 × 1000 = 1,500 milliliters.
3
A healthy snack contains 12 g of protein. If Kira eats 3 such snacks, how much protein does she get in total?
15 g
24 g
36 g
48 g
Пояснення: Multiply 12 by 3: 12 × 3 = 36.
4
A meal plan says that 20% of a plate should be protein. What fraction of the plate is protein?
1/2
1/5
2/5
1/20
Пояснення: 20% = 20/100 = 1/5.
5
A doctor recommends 8 glasses of water per day. Kira drank 6 glasses. What percent of the recommendation did she drink?
60%
70%
75%
80%
Пояснення: 6/8 = 3/4 = 75%.
6
If 3 apples cost 45 UAH, how much do 1 apple cost?
10 UAH
12 UAH
15 UAH
18 UAH
Пояснення: 45 ÷ 3 = 15.
7
A fitness tracker shows that Kira walked 4,200 steps in the morning and 3,800 steps in the evening. How many steps did she walk in total?
7,000
7,200
8,000
8,200
Пояснення: Add the steps: 4,200 + 3,800 = 7,000.
8
Solve the equation: x + 7 = 19. What is x?
10
11
12
26
Пояснення: Subtract 7 from both sides: x = 19 - 7 = 12.
9
A salad has 2 parts cucumber to 3 parts tomato. If there are 6 parts tomato, how many parts cucumber are there?
2
3
4
5
Пояснення: The ratio 2:3 is multiplied by 2 to get 4:6.
10
A chart shows that the number of hours of sleep was 7 on Monday, 8 on Tuesday, and 6 on Wednesday. What was the average number of hours of sleep?
6.5 hours
7 hours
7.5 hours
8 hours
Пояснення: Average = (7 + 8 + 6) ÷ 3 = 21 ÷ 3 = 7.
