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Олимпиада по математике (1 класс) | Класс39

   
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Олимпиада по математике (1 класс)
19 мая 2015 Елена Владимировна

Задания для олимпиады по математике для учащихся 1 классов с ответами…

Олимпиада (зимняя сессия)

1. Реши задачу по действиям. (5 баллов)

Красная Шапочка несла бабушке пирожки с картошкой, капустой и яблоками. Пирожков с картошкой было пять. Это на два больше, чем с капустой, и на два меньше, чем с яблоками. Сколько пирожков с капустой и с яблоками Красная Шапочка  несла бабушке?    

Ответ:……………………………

2. У Валеры есть попугайчики и хомячки. У всех 5 голов и 16 ног. Сколько у Валеры попугайчиков и сколько хомячков ? (4 балла)

Ответ:……………………………………………

Проверка:………………………………………………

3. Три брата живут в одном доме, но в разных подъездах. Кто в каком подъезде живёт, если известно, что старший брат живёт не во втором подъезде, а средний не во втором и не в третьем? (3 балла)

Ответ:  Старший брат -…………………………………..

                Средний брат — ………………………………….

               Младший брат — ……………………………..     

4. Женя, Вадим, Андрей и Кирилл играли в шахматы. Каждый сыграл с каждым по одной партии. Сколько всего партий сыграно? (3 балла)

………………………………………………………………………………………………………………………

Ответ:………………………………………………………

5. Пользуясь только сложением запиши число 28 при помощи пяти двоек. (2 балла)

Ответ:…………………………………………………………

6. Концы стрелок показывают на числа. Слева число на 6 меньше, чем справа, а сверху такое, которое в натуральном ряду чисел находится на одинаковом расстоянии от них. Впишите эти числа. (3 балла)

7. Испекли пирог прямоугольной формы, а затем двумя разрезами разделили его на 4 части так, что все части имели треугольную форму. Покажи, как это сделали. (2 балла)

8. Раскрась рисунок, если известно, что красная фигура находится между голубой и жёлтой, розовая  рядом с жёлтой, а  солнышко раскрашено жёлтым цветом. (1 балл)

Ключи к олимпиадным заданиям 

1. 1) 5-2=3(п)- с капустой; 2) 5+2=7(п)- с яблоками

2. 2 попугая и 3 хомячка.

Проверка: 2+3=5 – голов           2+2+4+4+4=16 – ног

3.Старший брат- в 3 подъезде. Средний брат – в 1 подъезде. Младший брат – во 2 подъезде

4. 6 партий.

5. 22+2+2+2=28

6. Слева 3, справа 9, сверху 6.

7.

8. Голубой, красный, жёлтый, розовый.

Олимпиада (весенняя сессия)

Уравнения

1. Решите уравнение:
11 + x = 10 + 9

2. Решите уравнения в столбик:
5 + x = 7
8 — x = 4
2 + x = 6
8 — x = 5
x + 2 = 9
2 + x = 3

3. Найдите неизвестное число:
у-5=7         —         21
35-у=10     —         ?

4. Найдите решение уравнений:
3 + x = 4
y — 3 = 4

5. Верно ли решены уравнения:
x — 1 = 4,   x = 7
8 — y = 6,   y = 6

6. Решите уравнения:
8 + x = 12
9 — x = 6
2 + x = 11

7. Поставьте вместо * математический знак (+ или -), чтобы получились верные равенства:
69 * 35 = 34
83 * 6 = 89

8. Решите уравнения:
6 — х = 1
10 + х = 13
х — 6 = 1

9. Найдите уравнение с неверным решением:
A. 13 — x = 9, x = 4
B. 9 — x = 2, x = 6
C. 9 = 4 + x, x = 5

10. Найдите решение уравнений
8 — x = 6
7 + 4 = x

Задачи

Задача №1
Есть два ведра емкостью 4 и 9 литров. Как с их помощью принести из речки ровно 6 литров воды?

Задача №2
В пакет можно положить 2 килограмма продуктов. Сколько пакетов должно быть у мамы, если она хочет купить 4 килограмма картошки и дыню массой 1 килограмм?

Задача №3
6 рыбаков съели 6 судаков за 6 дней. За сколько дней 10 рыбаков съедят 10 судаков?

Задача №4
Лист бумаги согнули пополам, потом еще пополам и по линиям сгиба лист разрезали. Сколько получилось листочков?

Задача №5
Кузнец подковал двух лошадей. Сколько подков ему потребовалось?

Задача №6
Две сливы весят, как одно яблоко. Что тяжелее: 5 слив или 3 яблока?

Задача №7
В коробке сидело 8 котят. Сколько коробок нужно еще взять, чтобы рассадить их по 2 в каждую?

Задача №8
Нина живёт к школе ближе, чем Вера, а Вера ближе, чем Зоя. Кто живёт ближе к школе – Нина или Зоя?

Задача №9
Всю неделю Костя поливал грядку клубники. Сколько литров воды потратил Костя на полив, если в день он выливал по 6 литров?


Задача №10
По дороге один за другим идут 5 детей. За каждым мальчиком, кроме последнего, идёт девочка. Сколько девочек идут по дороге?

Математические загадки

Загадка №1
Сколько треугольников нарисовано на рисунке?

Загадка №2
Напиши букву Т правее С, букву О левее Л, но правее Т. Какое слово получилось?

Загадка №3
Сколько концов у двух с половиной палок?

Загадка №4
«Сколько девочек в вашем классе? — спросил Яша у Гали. Галя, подумав немного, ответила: «Если отнять от наибольшего двузначного числа число, записанное двумя восьмёрками, и к полученному результату прибавить наименьшее двузначное число, то как раз получится число девочек в нашем классе.»

Загадка №5
Два проказника ежа
В сад сходили не спеша
И из сада,
Как могли,
По три груши унесли.

Сколько груш,
Узнать вам надо,
Унесли ежи из сада?

Ответы к уравнениям

Уравнение № 1 № 2 № 3 № 4 № 5
Ответ x = 8 x=2
x=4
x=4
x=3
x=7
x=1
52 x = 1
y = 7
нет
Уравнение № 6 № 7 № 8 № 9 № 10
Ответ x = 4
x = 3
x = 9
-, + x = 5
x = 3
x = 7
вариант B x = 2
x = 11

Ответы к задачам

Задача 1
Из полного девятилитрового ведра нужно вылить в реку 8литров воды, пользуясь ведром в 4 литра. Затем литр, оставшийся в большом ведре, нужно перелить в пустое четырехлитровое ведро. Если в него теперь добавить три литра из полного большого ведра, то в девятилитровом ведре как раз останется шесть литров воды

Задача 2
3 пакета

Задача 3
6 дней

Задача 4
Получилось 4 листочка

Задача 5
8 подков

Задача 6
яблоки

Задача 7
3 коробки

Задача 8
Нина живёт к школе ближе Зои

Задача 9
42 литра

Задача 10
2 мальчика

Ответы на загадки

Загадка 1
4, 5, 6

Загадка 2
Стол

Загадка 3
6 концов

Загадка 4
99 — 88 + 10= 21

Загадка 5
6 груш

Или…

Задача № 1

В каждом из 4 углов комнаты сидит кошка. Напротив каждой из этих кошек сидят три кошки. Сколько всего в этой комнате кошек?

Задача № 2

У отца шесть сыновей. Каждый сын имеет сестру. Сколько всего детей у этого отца?

Задача № 3

В мастерской по пошиву одежды от куска сукна в 200 м ежедневно, начиная с 1 марта, отрезали по 20 м. Когда был отрезан последний кусок?

Задача № 4

В клетке находятся 3 кролика. Три девочки попросили дать им по одному кролику. Каждой девочке дали кролика. И все же в клетке остался один кролик. Как так получилось?

Задача № 5

6 рыбаков съели 6 судаков за 6 дней. За сколько дней 10 рыбаков съедят 10 судаков?

Задача № 6

На одном дереве сидело 40 сорок. Проходил охотник, выстрелил и убил 6 сорок. Сколько сорок осталось на дереве?

Задача № 7

Два землекопа за 2 часа работы выкопают 2 м канавы. Сколько нужно землекопов, чтобы они за 100 часов работы выкопали 100 м такой же канавы?

Задача № 8

Два отца и два сына разделили между собой 3 апельсина так, что каждому досталось по одному апельсину. Как это могло получиться?

Задача № 9

По стеблю растения, высота которого 1 м, от земли ползет гусеница. Днем она поднимается на 3 дм, а ночью опускается на 2 дм. Через сколько суток гусеница доползет до верхушки растения?

Задача № 10

Есть два ведра емкостью 4 и 9 литров. Как с их помощью принести из речки ровно 6 литров воды?

Ответы к задачам олимпиады:

1.     4

2.    Одной девочке дали клетку с кроликом.

3.    9марта

4.    7

5.     6 рыбаков за день едят 1 судака. Один рыбак есть 1/6 судака в день. 10 рыбаков едят за день 10/6 судака. 10 судаков делим на 10/6 судака = 6 дней

6.     Все улетели

7.     2

8.     Дед, отец и внук = 2 отца и 2 сына

9.     Через 7/12 суток.

10.     Из полного девятилитрового ведра нужно вылить в реку 8 литров воды, пользуясь ведром в 4 литра. Затем литр, оставшийся в большом ведре, нужно перелить в пустое четырехлитровое ведро. Если в него теперь добавить три литра из полного большого ведра,
то в девятилитровом ведре как раз останется шесть литров воды.


3 комментария  
  • денис writes:
    23 февраля, 201617:03at

    Спасибо! Интересные задачки!

  • Татьяна writes:
    26 марта, 201708:03at

    6. Концы стрелок показывают на числа. Слева число на 6 меньше, чем справа, а сверху такое, которое в натуральном ряду чисел находится на одинаковом расстоянии от них. Впишите эти числа.

    Вы написали решение: 6,7,10. Но это невозможно !!! Напишите правильный ответ.

    • Елена Владимировна writes:
      26 марта, 201710:40at

      Татьяна, спасибо большое, что заметили и написали на ошибку! Исправили!


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