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PISATIMSS
KANGURU
MANTIKMUHAKEME
8SINIF
SORU BANKASI
MATEMATIK.ÖZET BILGILI
MEB’in
SORULARI
YENI TARZ.
1. BÖLÜM: ÇARPANLAR VE KATLAR
Çarpanlar ve Katlar .............................................................................................................................................................................................................................................9
En Küçük Ortak Kat (EKOK) ......................................................................................................................................................................................................................... 15
En Büyük Ortak Bölen (EBOB) .................................................................................................................................................................................................................... 21
2. BÖLÜM: ÜSLÜ İFADELER
Üslü İfadeler .........................................................................................................................................................................................................................................................29
Tam Sayıların Pozitif ve Negatif Kuvvetleri, Üssün Üssü ...................................................................................................................................................... 31
Üslü Denklem, Tek – Çift Kuvvet ve Sıralama ...............................................................................................................................................................................33
Üslü Sayılarla Çarpma ve Bölme .............................................................................................................................................................................................................37
10'un Kuvvetleri ve Bilimsel Gösterim .................................................................................................................................................................................................41
Ünite Değerlendirme Testi ..........................................................................................................................................................................................................................43
PISA – TIMSS TESTİ ..........................................................................................................................................................................................................................................45
3. BÖLÜM: KAREKÖKLÜ İFADELER
Kareköklü İfadeler ............................................................................................................................................................................................................................................49
Kareden Kareköke ve Gerçek Sayılar ..................................................................................................................................................................................................51
Kareköklü Sayılarla Çarpma, Bölme .....................................................................................................................................................................................................55
Karekök Dışına ve İçine Alma, Doğal Sayı Yapan Çarpanlar .................................................................................................................................................61
Kareköklü Sayılarla Toplama ve Çıkarma .........................................................................................................................................................................................65
Ondalık Gösterimlerin Karekökü ...............................................................................................................................................................................................................71
4. BÖLÜM: VERİ ANALİZİ
Veri Analizi ..............................................................................................................................................................................................................................................................77
Ünite Değerlendirme Testi ..........................................................................................................................................................................................................................85
PISA – TIMSS TESTİ .......................................................................................................................................................................................................................................... 87
5. BÖLÜM: OLASILIKOlasılık .......................................................................................................................................................................................................................................................................91
6. BÖLÜM: CEBİRSEL İFADELER VE ÖZDEŞLLİKLERCebirsel İfadeler ve Özdeşlikler ............................................................................................................................................................................................................ 105
Cebirsel İfadelere Giriş .................................................................................................................................................................................................................................107
Özdeşlikler ........................................................................................................................................................................................................................................................... 109
Çarpanlara Ayırma ........................................................................................................................................................................................................................................... 113
Ünite Değerlendirme Testi ......................................................................................................................................................................................................................... 119
PISA – TIMSS TESTİ ..........................................................................................................................................................................................................................................121
GENEL TARAMA TESTİ (1–6. BÖLÜMLER) ............................................................................................................................................................................................ 123
7. BÖLÜM: DOĞRUSAL DENKLEMLERDoğrusal Denklemler .................................................................................................................................................................................................................................... 129
Bir Bilinmeyenli Denklemler ve Problemleri .................................................................................................................................................................................. 131
Koordinat Sistemi ............................................................................................................................................................................................................................................ 141
Doğrusal Denklemlerin Grafiği ............................................................................................................................................................................................................... 145
Doğrusal İlişkiler ............................................................................................................................................................................................................................................. 149
Eğim ...........................................................................................................................................................................................................................................................................157
8. BÖLÜM: EŞİTSİZLİKLEREşitsizlikler .......................................................................................................................................................................................................................................................... 169
Ünite Değerlendirme Testi .........................................................................................................................................................................................................................178
PISA – TIMSS TESTİ ......................................................................................................................................................................................................................................... 181
9. BÖLÜM: ÜÇGENLERÜçgenler ................................................................................................................................................................................................................................................................ 185
Üçgenin Elemanları .........................................................................................................................................................................................................................................187
Üçgen Eşitsizliği .............................................................................................................................................................................................................................................. 189
Açı - Kenar Bağıntısı ve Üçgen Çizimi .............................................................................................................................................................................................. 193
Pisagor Bağıntısı ............................................................................................................................................................................................................................................. 199
10. BÖLÜM: EŞLİK VE BENZERLİK
Eşlik ve Benzerlik ............................................................................................................................................................................................................................................ 213
Ünite Değerlendirme Testi ....................................................................................................................................................................................................................... 225
PISA – TIMSS TESTİ ........................................................................................................................................................................................................................................227
11. BÖLÜM: DÖNÜŞÜM GEOMETRİSİ
Dönüşüm Geometrisi .................................................................................................................................................................................................................................... 231
Öteleme ................................................................................................................................................................................................................................................................. 233
Yansıma ................................................................................................................................................................................................................................................................ 235
Ardışık Öteleme ve Yansımalar ............................................................................................................................................................................................................ 239
12. BÖLÜM: GEOMETRİK CİSİMLER
Geometrik Cisimler ....................................................................................................................................................................................................................................... 245
Prizmalar ...............................................................................................................................................................................................................................................................247
Dik Dairesel Silindirin Açınımı ve Alanı ............................................................................................................................................................................................ 251
Dik Dairesel Silindirin Hacmi .................................................................................................................................................................................................................. 255
Dik Piramit ve Dik Koninin Açınımı .................................................................................................................................................................................................... 259
Ünite Değerlendirme Testi ....................................................................................................................................................................................................................... 263
PISA – TIMSS TESTİ ....................................................................................................................................................................................................................................... 265
GENEL TARAMA TESTİ (1–12. BÖLÜMLER) ..........................................................................................................................................................................................267
CEVAP ANAHTARI .............................................................................................................................................................................................................................................273